Answer:
The equation in the slope-intercept form is y = [tex]\frac{13}{3}x[/tex] + -6 ⇒ C
Step-by-step explanation:
The slope-intercept form of the linear equation is
y = m x + b, where
- m is the slope of the line
∵ The equation is 13x - 3y = 18
→ At first move x from the left side to the right side by subtracting 13x
from both sides
∴ 13x - 13x - 3y = 18 - 13x
∴ - 3y = 18 - 13x
→ Make the coefficient of y equal 1 by dividing both sides by -3
∵ [tex]\frac{-3y}{-3}=\frac{18}{-3}-\frac{13x}{-3}[/tex]
∴ y = -6 - ([tex]-\frac{13}{3}x[/tex])
→ Remember (-)(-) = (+)
∴ y = -6 + [tex]\frac{13}{3}x[/tex]
→ Switch the two terms of the right side
∴ y = [tex]\frac{13}{3}x[/tex] + - 6
∴ The equation in the slope-intercept form is y = [tex]\frac{13}{3}x[/tex] + -6
