Question

Determine the equation of the line that passes through the point (-4,-11) and is parallel to the line with x-intercept (2,0) and y-intercept (0,3). Write the equation in slope intercept form.

Answer 1

Answer: $\bold{y=-\dfrac{2}{3}x-\dfrac{41}{3}}$

Step-by-step explanation:

Use the Point-Slope formula: y - y₁ = m(x - x₁)

$\bullet m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-2}{3-0}=-\dfrac{2}{3}\\\\\bullet (x_1,y_1)=(-4,-11)\\\\\\y+11=-\dfrac{2}{3}(x+4)\\\\\\y+11=-\dfrac{2}{3}x-\dfrac{8}{3}\\\\\\y\qquad =-\dfrac{2}{3}x-\dfrac{41}{3}$