Writing the equation of a line given slope and a point

Writing the equation of a line given slope and a point

Aim: How do you write the equation of a line in slope-intercept form using a point and the slope?

Math Response

What is the equation of the graph shown here?

Type answer here

Correct Answer: y=-2x+5

Deg^°

Rad

Math Response

What is the equation of this graph?

Type answer here

Correct Answer: y=5

Deg^°

Rad

Math Response

Write the equation for this graph.

Type answer here

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

Deg^°

Rad

WRITE IN YOUR NOTES
Example 1:
Find the equation of the line that goes through point (3, 8) whose slope is 2/3.

​STEP 1: Identify
M=
X=
Y=

​STEP 2: Substitute
y = mx + b

STEP 3: Solve for b & REWRITE

WRITE IN YOUR NOTES
Example 2:
Find the equation of the line that passes through point (4, -6) whose slope is -3/4.

​STEP 1: Identify
M=
X=
Y=

​STEP 2: Substitute
y = mx + b

STEP 3: Solve for b & REWRITE

Multiple Choice

Write the equation of the line whose slope is 2 and passes through (1, 4)

• y = 2x - 2

• y = 2x + 2

• y = 2x - 7

• y = 2x + 6

Multiple Choice

Write the equation of the line that passes through (-3, 5) and whose slope is 1/3.

• y = 1/3x - 6

• y = 1/3x - 5

• y = 1/3x + 5

• y = 1/3x + 6

Summary

To write the equation of a line when given a point and the slope, just replace into the equation
y = mx + b.

• m will be the given slope.

•To find b (the y-intercept), just replace into the equation y = mx + b.
x will be the first coordinate of the given point and y will be the second coordinate of the given point.