Slope-Intercept and Point-Slope Form

Presentation

•

Mathematics

•

9th - 12th Grade

•

Medium

•

CCSS

8.EE.B.6, 8.EE.B.5, 8.F.B.4

Standards-aligned

Brian Demcher

Used 9+ times

FREE Resource

5 Slides • 17 Questions

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

Multiple Choice

What is the y-intercept?

-1

-3

-2

Multiple Choice

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

Cannot be Determined

Multiple Choice

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

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

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

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)

$y=3x+4$

$y=8x+10$

$y=\frac{3}{4}x\ +4$

$y=-\frac{3}{4}x+4$

Slope-Intercept and Point-Slope Form

by Brian Demcher

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