Answer:
[tex]\displaystyle\mathsf{y\:=\:\frac{5}{11}x\:-\:\frac{5}{11}}[/tex]
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:
[tex]\displaystyle\mathsf{\frac{-11y}{-11}\:=\:\frac{-5x + 5}{-11}}[/tex]
Slope-intercept form:
[tex]\displaystyle\mathsf{y\:=\:\frac{5}{11}x\:-\:\frac{5}{11}}[/tex] ⇒ This is the slope-intercept form, where:
[tex]\displaystyle\mathsf{slope(m)\:=\:\frac{5}{11}}[/tex]
[tex]\displaystyle\mathsf{y-intercept(b)\:=\:-\frac{5}{11}}[/tex].
