Question

Find the equation of the linear function represented by the table below in slope- intercept form. х: 1, 2, 3, 4 y: -6, -2, 2, 6, 10

Answer 1

y=4x-10

Explanation:

Take 2 coordinates.

Ex. (1,-6) , (2,-2)

Find the slope. The formula is y2-y1/x2-x1.

So it would be -2+6/2-1, which is 4, meaning the slope is 4.

Take one of the two coordinates.

Ex. (1,-6)

Fill in the equation for point-intercept. The formula is y-y1=m(x-x1).

So it would be y+6=4(x-1).

Simplify.

y+6=4x-4

y=4x-10