Question

Using point-slope form, write the equation of the line that passes through the point (-4,12)and has a slope of -3/4

Answer 1

The answer is:

`\sf{y-12=-(3)/(4)(x+4)}`

Work/explanation:

The point slope equation is:

`\rm{y-y_1=m(x-x_1)}`

where m = slope;

(x₁, y₁) is a point on the line.

Plug in the data accordingly.

`\sf{y-12=-(3)/(4)(x-(-4)}`

Simplify

`\sf{y-12=-(3)/(4)(x+4)}`

Hence, this is the equation.