Question

Rewrite the following equation in slope-intercept form.

Answer 1

Answer:

$\displaystyle\mathsf{y\:=\:\frac{5}{11}x\:-\:\frac{5}{11}}$

Step-by-step explanation:

Given the linear equation in standard form, 5x − 11y = 5:

Solution:

In order to rewrite the equation in slope-intercept form, y = mx + b, we must algebraically isolate the variable, y.

Start by subtracting 5x from both sides of the equation.

5x − 11y = 5

5x − 5x − 11y = − 5x +  5

−11y = − 5x +  5

Next, divide both sides of the equation by −11 to isolate y:

$\displaystyle\mathsf{\frac{-11y}{-11}\:=\:\frac{-5x + 5}{-11}}$

Slope-intercept form:

$\displaystyle\mathsf{y\:=\:\frac{5}{11}x\:-\:\frac{5}{11}}$  ⇒ This is the slope-intercept form, where:

$\displaystyle\mathsf{slope(m)\:=\:\frac{5}{11}}$

$\displaystyle\mathsf{y-intercept(b)\:=\:-\frac{5}{11}}$.