Question

Put the following equation of a line into slope-intercept form, simplifying all fractions.

5x-4y=-12

Answer 1

`\sf y =(5)/(4)x+3`

Explanation:

Slope-intercept of an equation: y = mx + b

Here, m is the slope and b is the y-intercept.

5x - 4y = -12

Subtract 5x from both sides,

-4y = -5x - 12

Divide the entire equation by (-4),

`\sf (-4y)/(-4)=(-5x)/(-4) -(12)/(-4)\\\\\\y = (5)/(4)x + 3`