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:
<em>y = mx + b </em>
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.
<u><em>Hence, the slope of the line is '4/5' </em></u>
Hope it helps!
