Question

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

Answer 1

Given:

Table for the linear function k.

To find:

The equation for the function.

Solution:

Take any two points from the table.

Let the points are (10, 18) and (30, 58).

Slope of the line:

Here,

m = 2

Using point-slope formula:

Add 18 on both sides.

Replace x by c and y by k.

The slope-intercept form of the equation of the function is k = 2c - 2.

Explanation:

Answer 2

y=3x-5

Explanation:

we find the slope which is:

y/x

-2-1/1-2=3

we use this formula:

y-y1=m(x-x1) (we choose one point on the graph)

y-1=3(x-2)

y=3x-6+1

y=3x-5