Question

Which is the equation of the line with slope 5 that contains point (−2, −3)?

Answer 1

Answer:

Option C. $y+3=5(x+2)$

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

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

In this problem we have

$m=5$

$(x1,y1)=(-2,-3)$

substitute the given values

$y+3=5(x+2)$

Answer 2

The answer is y = 5x + 7

here's how you get it:

Start with the base   y = mx + b

then imput the points and the slope:

-3 = 5 ( -2 ) + b

Then solve for b

-3 = 5 ( -2 ) + b

-3 = -10 + b

-b = -7

b = 7

so the equation is:

y = 5x + 7 also  

y + 3 = 5(x + 2)