Question

Find the y - intercept of the line formed by: −1x+4y=23

Answer 1

Solve for y on the expression:

$-1x+4y=23$

Add both sides by 1x:

$-1x+1x+4y\text{ =23+1x}$$4y=\text{ 23+1x}$

Divide both sides by 4:

$\frac{4y}{4}=\frac{23+1x}{4}$$y\text{ =}\frac{23}{4}+\frac{x}{4}$

Where 1/4 is the slope and 23/4 represents the y-intercept.

The ordered pair for the y-intercept is (0.23/4).