1 Answer

Ell Neal · Answer 1 · 2024-12-16T11:33:07+0000

Answer:

y = -2/3x - 6

Slope-Intercept Form

Slope is a measure of steepness of a line. In Algebra 1, It is how much the y-value changes when the x-value increases by 1.

Slope Formula:

Take any 2 points on the line and plug in:

(y_2-y_1)/(x_2-x_1)

y-intercept is the y-value of the line when it intersects with the y-axis, or the y-value of the line when the x-value of the line is 0.

y = mx + b

y and x stay as variables when graphing the equation and are only substituted when solving for values such as the x-intercept.

m is the slope and b is the y-intercept.

First, examine the graph. When does the graph have an x-value of 0 and intersects the y-axis, what is the y-value of the line?

-6

y = mx - 6

Then, lets get 2 points from the graph. You can use any 2 points.

(-6,-2)

(0,-6)

Plug into the formula.

(-6-(-2))/(0-(-6))

(-4)/(6)

-(2)/(3)

y = -2/3x - 6