Question

Rewrite the equation in slope-intercept form. $$x+5 y=20$$

Short answer

The equation in slope-intercept form is \(y = -\frac{1}{5}x + 4\)

Step-by-step solution

Isolating Terms

The first step involves isolating \(y\) on one side. To do this, subtract \(x\) from both sides of the equation. That gives us \(5y = 20 - x\).

Isolate y

Next, isolate \(y\) by dividing every term of the equation by 5. Hence, the equation becomes \(y = 4 - \frac{1}{5}x\)

Rewrite Equation

For final step, rewrite the equation in the slope-intercept form \(y = mx + b\). So our final equation is \(y = - \frac{1}{5}x + 4\)