Standard vs Slope-Intercept Form

​Example problem.
Write the equation of the graph using slope-intercept form and key each answer choice in DESMOS to see which one matches the line.

Multiple Choice

Which equation in standard form matches the graph given?

• 3x + y = -6

• 3x - y = 6

• -3x + y = 6

• -3x - y = -6

Multiple Choice

Which equation in standard form matches the graph given?

• 2x + y = 8

• 2x - y = 8

• x - 2y = 8

• x + 2y = 8

Multiple Choice

Which equation in standard form matches the graph given?

• 4x - 5y = 8

• 4x + 5y = 8

• 5x - 4y = 8

• 5x + 4y = 8

Multiple Choice

Which equation in standard form matches the graph given?

• 6x + y = 3

• 6x - y = 3

• -6x + y = 3

• -6x - y = 3

Multiple Choice

Which equation in standard form matches the graph given?

• 3x - 5y = -15

• 3x + 5y = 15

• 5x -3y = -15

• 5x + 3y = 15

Multiple Choice

Which equation in standard form matches the graph given?

• 4x + y = 3

• 4x - y = -3

• x + 4y = 3

• x - 4y = -3

Multiple Choice

Which equation in standard form matches the graph given?

• 3x - 2y = 2

• 3x + 2y = -2

• 2x - 3y = 2

• 2x + 3y = -2

Multiple Choice

Which equation in standard form matches the graph given?

• x + 7y = -5

• x - 7y = 5

• 7x + y = -5

• 7x - y = 5

​What to do when asked to write an equation of a line given the slope and a point on the graph?

Math Response

Write an equation of the line given the slope and point:

through ( 1, 5) and slope = 3

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=3x+2

Deg^°

Rad

Math Response

Write an equation of the line given the slope and point:

through ( 12, -2) and slope = $$-\frac{5}{6}$$

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=-\frac{5}{6}x+8

Deg^°

Rad

Math Response

Write an equation of the line given the slope and point:

through ( -6, -4) and slope = $$\frac{3}{2}$$

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=\frac{3}{2}x+5

Deg^°

Rad

Math Response

Write an equation of the line given the slope and point:

through ( 2, 7) and slope = $$-4$$

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=-4x+15

Deg^°

Rad

Math Response

Write an equation of the line given the slope and point:

through ( -6, 2) and slope = $$3$$

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=3x+20

Deg^°

Rad

Math Response

Write an equation of the line given the slope and point:

through ( 7, -6) and slope = $$\frac{1}{2}$$

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=\frac{1}{2}x-\frac{19}{2}

Deg^°

Rad

Math Response

Write an equation of the line given the slope and point:

through ( -8, 2) and slope = $$-\frac{3}{4}$$

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=-\frac{3}{4}x-4

Deg^°

Rad

​What to do when asked to write an equation of a line given 2 points on a graph?

​Remember you can key both points in Stat using L₁ and L₂ and then use calc to find the a and b value for the linear regression.

You can also key in both ordered pairs in DESMOS and on the 2nd line type in: y₁~mx₁+b

Math Response

Write an equation of the line given the two points:

( 0, -2) and ( 4, -3)

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=-\frac{1}{4}x-2

Deg^°

Rad

Math Response

Write an equation of the line given the two points:

( 3, -2) and ( 0, -5)

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=x-5

Deg^°

Rad

Math Response

Write an equation of the line given the two points:

( 1, 4) and ( 2, -4)

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=-8x+12

Deg^°

Rad

Math Response

Write an equation of the line given the two points:

( -5, 1) and ( 0, 3)

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=\frac{2}{5}x+3

Deg^°

Rad

Math Response

Write an equation of the line given the two points:

( 4, -3) and ( 2, -4)

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=\frac{1}{2}x-5

Deg^°

Rad

Math Response

Write an equation of the line given the two points:

( 2, -4) and ( -5, 3)

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=-x-2

Deg^°

Rad

Math Response

Write an equation of the line given the two points:

( -3, 0) and ( -2, 2)

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=2x+6

Deg^°

Rad

Math Response

Write an equation of the line given the two points:

( 3, -5) and ( -3, -3)

Write answer in slope-intercept form.

Type answer here

Correct Answer: y=-\frac{1}{3}x-4

Deg^°

Rad

Math Response

Write an equation of the line using slope-intercept form.

Type answer here

Correct Answer: y=-\frac{1}{4}x+4

Deg^°

Rad

Math Response

Write an equation of the line using slope-intercept form.

Type answer here

Correct Answer: y=3x-8

Deg^°

Rad

Math Response

Write an equation of the line using slope-intercept form.

Type answer here

Correct Answer: y=\frac{1}{2}x-\frac{3}{2}

Deg^°

Rad

Math Response

Write an equation of the line using slope-intercept form.

Type answer here

Correct Answer: y=\frac{5}{2}x-3

Deg^°

Rad

Math Response

Write an equation of the line using slope-intercept form.

Type answer here

Correct Answer: y=\frac{5}{4}x-2

Deg^°

Rad

Math Response

Write an equation of the line using slope-intercept form.

Type answer here

Correct Answer: y=-\frac{3}{2}x+2

Deg^°

Rad

Math Response

Write an equation of the line using slope-intercept form.

Type answer here

Correct Answer: y=-\frac{7}{4}x+3

Deg^°

Rad

Math Response

Write an equation of the line using slope-intercept form.

Type answer here

Correct Answer: y=\frac{5}{3}x-1

Deg^°

Rad

Math Response

Identify the slope of the table. Only type in the slope value in the form of m = __.

Type answer here

Correct Answer: m=-5

Deg^°

Rad

Math Response

Identify the slope of the table. Only type in the slope value in the form of m = __.

Type answer here

Correct Answer: m=7

Deg^°

Rad

Math Response

Identify the slope of the table. Only type in the slope value in the form of m = __.

Type answer here

Correct Answer: m=-2

Deg^°

Rad

Math Response

Identify the slope of the table. Only type in the slope value in the form of m = __.

Type answer here

Correct Answer: m=3

Deg^°

Rad

Math Response

Identify the slope of the table. Only type in the slope value in the form of m = __.

Type answer here

Correct Answer: m=-\frac{1}{4}

Deg^°

Rad

Math Response

Identify the slope of the table. Only type in the slope value in the form of m = __.

Type answer here

Correct Answer: m=\frac{1}{5}

Deg^°

Rad

Math Response

Identify the slope of the table. Only type in the slope value in the form of m = __.

Type answer here

Correct Answer: m=-5

Deg^°

Rad

Math Response

Identify the slope of the table. Only type in the slope value in the form of m = __.

Type answer here

Correct Answer: m=-4

Deg^°

Rad

​What to do when asked to identify the slope and y-intercept from a standard form equation?

Key in the standard from in DESMOS and key in each answer choice in slope-intercept form and find the two equations that produce the same line or match.

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