Question

What is the slope of a line parallel to the line with equation 5x + 3y = 7?

−7/3

−5/3

−3/5

5/3

Answer 1

so first we have to make it to y- intercept form

5x + 3y = 7

3y = 7 -5x since we moved to the other side of the equal sign it turns negative

now divide both sides by 3 becuase y needs to have no number in front of it

3y divided by 3

7 divided by 3

-5 divided by 3

now its y = 7/3 - 5/3x

now we need to reorder the terms so its y = mx + b

y = -5/3x + 7/3 or 2.3

mx equals slope so -5/3 is the slope

Explanation:

Answer 2

−5/3

Explanation:

Parallel lines have the same slope. So to find the parallel line you must first find the slope of the original line. Do this by putting the equation into slope-intercept form. Once the equation is in the slope-intercept form it is,
`y=-(5)/(3)x+(7)/(3)`. Therefore, the correct answer is −5/3.