Question

What is the slope of 4x-5y=-5

Answer 1

Hey there!!

In order to find the slope, let's convert this equation which is in a standard form to a slope-intercept form.

Slope intercept form:

y = mx + b

We have two things to remember:

• 'm' in the equation stands for slope.
• 'b' in the equation resembles y-intercept.

Given:

4x - 5y = -5

The main idea:

• We will have to isolate 'y'

First, let's subtract 4x on both sides:

4x - 5y - 4x = -4x -5

-5y = - 4x - 5

Now let's divide both the sides with -5

-5y/-5 = (-4x/-5) + (-5/-5)

y = (4/5)x + 1

Now, we got the slope intercept form and the coefficient of 'x' would be the slope.

Hence, the slope of the line is '4/5'

Hope it helps!