Question

Determine the intercepts of the line that correspond to the table of values.

Answer 1

First find the slope/rate of change of the table. Find the difference between the intervals of the x and y values of the table. Each time the x value decreases by 2 the y value decreases by 4. To find the rate of change divide the -4 by -2 to get 2 as the slope.

Set up an equation using values from the table to figure out the y intercept or b value.
-6=-4(2)+b
-6=-8+b. Add 8 from both sides
both sides to get b
2=b
The y intercept is (0,2)

The equation of the line is Y=2x+2

Plug in 0 for y into the lines equation to get the x intercept

0=2x+2
-2=2x. Divide by 2 to isolate x
-1=x

The x intercept is (-1,0)

Answer 2

X-intercept : (1,0)
y-intercept : (0,2)