What is the slope and y-intercept of the line 5x + 4y = 12?

Question

What is the slope and y-intercept of the line 5x + 4y = 12?

Answer 1

Put the equation in slope-intercept form, y=-5/4x+3. therefore the slope is -5/4 and the y-intercept is (0,3).





Good luck!

Answer 2

Rearrange the equation so that is in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. Just solve for y.

5x + 4y = 12 (subtract 5x from both sides)

4y = -5x + 12 (divide both sides by 4)

y = (-5/4)x + 3

Slope = -5/4

y-intercept = 3; point (0, 3) when graphed