What is the y-intercept of the line that is perpendicular to y = −3x − 5 and passes through the point (−3, 7)? NEED BEFORE 11:59 ASAP​

b=8

Step-by-step explanation:

Perpendicular lines are negative and reciprocal; when you multiply the slopes together, the result is -1.

we are given the line y=-3x-5

we need to find the slope of the new line. To do that, we can use this equation:

-3m=-1

divide by -3 on both sides

m=1/3

so the slope of the perpendicular line is 1/3

We can write our line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, which is what we need

so far our equation is:

y=1/3x+b

we need to find b

we can substitute the point (-3,7) into the equation, since the line will pass through it to solve for b

so:

7=1/3(-3)+b

7=-1+b

8=b

so the y intercept of the line is 8; as a point it's (0,8)

hope this helps!