A graph of a line has an x-intercept of -8and a y-intercept of 4. Write the equation that represents these points in standard form.

Answer 1

Ax + By = C is standard form with A, B, C integers.

x-intercept is (-8,0)

y-intercept is (0,4)

The slope is (y2 - y1)/(x2-x1) = (4-0)/(0- -8) = 4/8 = 1/2

y = mx + b is the slope intercept form of a line equation.

Plug in a point and the slope to find b.

0 = (1/2)(-8)+b

0 = -4 + b

b = 4

y = (1/2)x + 4

(-1/2)x + y = 4

Multiply by 2

-x + 2y = 8

Answer 2

Standard form is Ax + By = C

(-8, 0) and (0, 4) are points on the line

Slope = (4-0) / (0 - (-8)) = 1/2 = m

Equation of line has the form y = mx + b, where m is the slope and b is the y-intercept.

So, y = (1/2)x + 4

2y = x + 8

x - 2y = -8