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Slope Intercept Form. Y intercept. The y-intercept is the point where a line crosses the y axis. At this point the value of x is 0. Y intercept. To find the y-intercept, plug 0 in for x in the linear equation and solve for y. y=3x-6 (0, -6). Slope. y=3x-6

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Y intercept
Y intercept

  • The y-intercept is the point where a line crosses the y axis.

  • At this point the value of x is 0.


Y intercept1
Y intercept

  • To find the y-intercept, plug 0 in for x in the linear equation and solve for y.

  • y=3x-6 (0, -6)


Slope
Slope

  • y=3x-6

  • To find the slope first find 2 points.

  • (2, 0) and (0, -6)

  • Then substitute in and solve


Slope intercept form1
Slope Intercept Form

  • y=mx + b

  • m is

  • b is the


Slope intercept form2
Slope Intercept Form

y=3x-6

The slope is

The y intercept is


Slope intercept form3
Slope Intercept Form

To graph y=3x-6

  • Plot (0, -6)

  • then count slope

  • Up 3 right 1

  • Connect your points to make a line.


Writing an equation
Writing an Equation

Write the equation of the line with slope 3/8 and y-intercept 5.

Use slope intercept form:

Substitute in for m and b


You try
You Try

Write the equation of a line with slope -.5 and y-intercept -3

y =

Write the equation of a line with slope 4 and y-intercept -5/2.

y =


You try1
You Try

Identify the slope and y intercept.

y = -5x + 13

Slope:

Y-Intercept:

Identify the slope and y intercept.

y = 1/4x – 2

Slope:

Y-Intercept:


Writing an equation1
Writing an Equation

Write the equation of the line with slope 2

That passes through pt. (1, 4).

  • Use slope intercept form: y = mx + b

  • Substitute in for m

  • Substitute in your points

    values for x and y

  • Solve for b

  • Use slope intercept form

    and substitute in b and m


You try2
You Try

Write the equation of a line with slope -3 that passes through pt. (2, 5)


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