Question

Find the equation of the line in slope-intercept form that passes through the following point with the given slope.Simplify your answer.Point (-2, 11); Slope-3

Answer 1

Take into account that the general equation of a line can be written as follow:

`y-y_o=m(x-x_o)`

where m is the slope of the line and (xo,yo) are the coordinates of any point of the line.

In this case, you have:

m = -3

(xo,yo) = (-2,11)

Replace the previous values of the parameters into the general equation of the line and solve for y, as follow:

`\begin{gathered} y-11=-3(x-(-2)) \\ y-11=-3(x+2) \\ y-11=-3x-6 \\ y=-3x-6+11 \\ y=-3x+5 \end{gathered}`

Hence, the equation of the line is y = -3x + 5