Question

How do you find the slope and intercept of `4x + 7y = 51`?

Answer 1

Slope: (-4/7)
y-intercept: (51/7)

Explanation:

4x+7y=51
It is important to take the first equation, in standard form, and change it to slope-intercept form.
First subtract 4x from each side:
4x-4x+7y=-4x+51
7y=-4+51
Next, divide each side by 7 because you want to make the equation equal to y:
`(7y)/7`=`(-4x+51)/7`
y=`(-4/7)`x+`(51/7)`
Slope: `(-4/7)`
y-intercept: `(51/7)`