Slope-Intercept and Point-Slope Form

Slope-Intercept and Point-Slope Form

by Brian Demcher

Today we will focus on the slope-intercept (or y-intercept) form

Multiple Choice

Find the slope of the line shown.

• 3/4

• -3/4

• 4/3

• -4/3

Multiple Choice

Find the slope of the line shown.

• -2/3

• 2/3

• -3/2

• 3/2

y-intercept

Find the point where the graph passes through the y-axis

The y-intercept is the y value when x=0

(0, y)

For example, if the point where it crosses the y-axis is (0, -5) we would say the y-intercept is y= -5. Since the b is the y-intercept, if we put this in the slope-intercept form it would look like y =mx + (-5) or y=mx-5.

Multiple Choice

What is the y-intercept?

• 2
• 3
• 4
• -2

Multiple Choice

What is the y-intercept?

• -1
• 3
• -3
• -2

Multiple Choice

What is the y-intercept in the equation y=2x + 3?

• 2

• 3

• 5

• Cannot be Determined

Multiple Choice

What is the slope in the equation y=2x + 3?

• 2
• 3
• 5
• Cannot be Determined 

Multiple Choice

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 
• slope: 3/2   y-intercept:  (0,3) 
• slope:  4  y-intercept:  (0,3/2)
• slope: 1/5   y-intercept:  (0,5) 

Multiple Choice

What is the equation of a line with m = 0 and b = 6

• y = 6

• y = 6x

• y = 0

• y = x

Multiple Choice

What is the equation of a line with m = -1 and b = 1/5

• y = -x + 1/5

• y = 1/5x - 1

• y = 1/5x + 1

• y = x + 1/5

Multiple Choice

Which is the slope-intercept equation of the line with a slope of -2 and a y-intercept of 5?

• y = -2x + 5

• y = 5x - 2

• y = -2/5x + 5

• y = 2x - 5

Writing an equation given two points

​

Write the equation of a line that passes through points (2, 20) and (6, 12)

Multiple Choice

Write the equation of a line that passes through points (-2, -8) and
(2, 4)
First find the slope using

$$\frac{y_2-y_1}{x_2-x_1}$$  

• -3

• 3

• 12

• 4

Multiple Choice

Write the equation of a line that passes through points (-2, -8) and
(2, 4)
Next, choose and ordered pair and along with your slope plug into 

y=mx+b and solve for "b". 

What is the value of "b"?

• 2

• 10

• - 2

• 6

Multiple Choice

Write the equation of a line that passes through points (-2, -8) and
(2, 4)

Finally, use the slope "m" and y-intercept "b" to write your final equation in y = mx+b form

• y = 3x + 10

• y = 3x - 2

• y = -2x + 8

• y = 2x + 4

Multiple Choice

Write the equation of a line that passes through points (- 4, 2) and

(8, 8).

• $$y\ =\ \frac{1}{2}x\ +4$$

• $$y\ =\ -\frac{1}{2}x\ +4$$

• $$y\ =\ 4x\ +\ \frac{1}{2}$$

• $$y=2x\ +\ 4$$

Multiple Choice

Write the equation of a line that passes through points ( - 2, 6) and

( - 4, 12).

• $$y=3x$$

• $$y=-\ 4x\ +12$$

• $$y\ =\ -\frac{1}{3}x$$

• $$y=-3x$$

Multiple Choice

Write the equation of a line that passes through points ( - 1, 0) and

(1, - 10).

• $$y=-5x-5$$

• $$y=-\frac{1}{5}x\ -5$$

• $$y=-5$$

• $$y=5x+5$$

Multiple Choice

Write the equation of a line that passes through points ( 4, 7) and

( 8, 10)

• $$y=3x+4$$

• $$y=8x+10$$

• $$y=\frac{3}{4}x\ +4$$

• $$y=-\frac{3}{4}x+4$$