Question

Write the equation in slope-intercept form. What are the slope and y-intercept? -5x-8y=1

Answer 1

Slope= -5/8

y-intercept = -1/8

Explanation:

ALWAYS make the equation "y=mx+c"

where m = slope/gradient and c = y-intercept

Now rearrange the equation:

5x+8y=-1

8y=-5x-1

y=-5x/8-1/8

Slope= -5/8

y-intercept = -1/8

Answer 2

slope = -5/8

y-intercept = -1/8

Explanation:

Recall slope-intercept form of a linear equation looks something like this:

y = mx + b, where m = slope and b = y-intercept

given:

-5x-8y=1 (add 5x to both sides)

-8y = 1 + 5x (divide both sides by -8)

y = -(1/8) + (5/-8) x

y = -(1/8) - (5/8)x

y = (-5/8)x - (1/8)

compare this with the formula above

slope = m = -5/8

y-intercept = c = -1/8