Question

Find the equation of the linear function represented by the table below in slope-intercept form.

Answer 1

y = 10x - 8

Explanation:

The slope is "m", or how much the y-value changes on a line when the x-value changes by one.

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

To find the slope, take 2 points from the graph and plug into the slope formula:

`(y_2-y_1)/(x_2-x\\_1)`

I'll use (0, -8) and (1,2).

Plug into the formula.

`(2--8)/(1-0)`

`(10)/(1)`

10

Slope = 10

To find the y-intercept, look at the table. What is the y-value when the x-value is equal to 0?

-8

y-intercept: -8

Slope-Intercept form:

y = mx + b

m: slope

b: y-intercept

y, x: leave as variables

y = 10x - 8