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=-(2)/(3)x-(41)/(3)}`

Explanation:

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

`\bullet m=(y_2-y_1)/(x_2-x_1)=(0-2)/(3-0)=-(2)/(3)\\\\\bullet (x_1,y_1)=(-4,-11)\\\\\\y+11=-(2)/(3)(x+4)\\\\\\y+11=-(2)/(3)x-(8)/(3)\\\\\\y\qquad =-(2)/(3)x-(41)/(3)`