Question

-2(3x+5y)=10 in slope intercept form

Answer 1

The equation in the slope-intercept form is:

• y = -3/5x - 1

Explanation:

Given the equation

`-2(3x+5y)=10`

We know that the slope-intercept form of a line equation is

`y = mx+b`

where

• m is the slope

• b is the y-intercept

Writing the equation in slope-intercept form

-2(3x+5y)=10

-6x -10y = 10

Add 6x to both sides

-6x -10y + 6x = 10 + 6x

-10y = 10 + 6x

Divide both sides by -10

-10y / -10 = (10 + 6x) / -10

y = -3/5x - 1

Thus, the equation in the slope-intercept form is:

• y = -3/5x - 1