Question

Write (–1, –2), y = –3x + 5 in slope intercept form

Answer 1

I have to find here a equation which passes through $(-1,-2)$ and parallel to $y=-3x+5$ in slope - intercept form.

Here the given equation is $y=-3x+5$ .........(1)

Slope of the given line (1) is $m=-3$

Equation of the line which is passes through $(x_1,y_1)$ and having slope $m$ is , $(y-y_1)=m(x-x_1)$

As the required line is parallel to (1), therefore the slope of the required line is $m=-3$ and it passes through (-1,-2).

Therefore the required equation of the line is $(y+2)=(-3).(x+1)$

$\implies y=-3x-5$

Which is the required equation of the line and it is in the slope - intercept form and having slope $(-3)$ and $y$ intercept is $5$ .