Question

Put the following equation of a line into slope-intercept form, simplifying all fractions.

8x + 10y= -30

Answer 1

The equation in slope-intercept form is y = -4/5x - 3.

Step-by-step explanation:

To put the equation into slope-intercept form, we need to solve for y.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Given the equation 8x + 10y = -30, we can start by isolating y on one side of the equation.

10y = -8x - 30

Divide both sides of the equation by 10 to solve for y:

y = (-8/10)x - 3

Simplifying the fraction, we get y = -4/5x - 3.

This is the equation in slope-intercept form, with a slope of -4/5 and a y-intercept of -3.