Question

rewrite the following equation in slope intercept form.3x + 17y = 5

Answer 1

We are given a line equation and asked to transform it into the slope-intercept form, that is:

$y=mx+b$

To do that, we solve for "y" in the given equation

$3x+17y=5$

Subtracting 3x on both sides

$17y=5-3x$

Dividing by 17 on both sides

$y=\frac{5-3x}{17}$

separating the denominator

$y=\frac{5}{17}-\frac{3x}{17}$

And thus we get the desired equation.