Question

Find the y intercept​

Answer 1

Step-by-step explanation:

Slope of line ST = Slope of line PQ = -3.

y = -3x + c

When x = 3, y = -1

=> (-1) = -3(3) + c, c = 8

Therefore the equation of line ST is y = -3x + 8 and the y-intercept is 8.

Answer 2

Step-by-step explanation:

Hey there!

The given equation of line PQ is :

y = -3x -12.

Comparing the equation with y = mx + c. We get;Slope (m1)= -3

We know the condition of parallel lines is slope of 1st line = slope of 2nd line. (i.e m1=m2).

Therefore, slope of PQ= slope of ST = -3.

Now, The point through which ST passes is (3,-1) and we found its slope as -3.

So, let's use one point formula.

$(y - y1) = m2(x - x1)$

$(y + 1) = - 3(x - 3)$

$y + 1 = - 3x + 9$

$y = - 3x + 8$

Comparing the equation with y = mx+c. We get y-intercept is "8".

Therefore, y-intercept is "8".