Question

What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8)?

Enter your answers in the boxes.

y−
=
(x−9)

Answer 1

Refer to the attachment.

Answer 2

The equation for the linear function whose graph contains the points (9, 7) and (4, −8) is y-7=3(x-9)

Given the following points:

Points on the x-axis = (9, 7)

Points on the y-axis = (4, −8)

To find an equation for the linear function whose graph contains the points (9, 7) and (4, −8),

we would determine the slope by using the formula:

Slope. m = Change in y axis Change in x axis

Slope. m = y2 - y1 / x2 - x1

Substituting the points into the formula, we have;

Slope. m = -8 - 7/4 - 9

Slope. m =-15/-5

Slope, m = 3

From the standard equation of a linear function, we have:

y-y1=m(x-x1)

y-7=3(x-9)

$\huge\red{➳Ṧřîⅉꫝᾇñ ࿐}$