# Write an equation of the line that passes through each point with the given slope.

(-3,-4) ,m=3

a. y=3x+13

b.y=3x-5

c.y=-3x+5

d.y=3x+5

??

The general equation for a sraight line is in the form

y=mx+b

where m is the slope and b is the y intercept. You are given m, Plug -3 in for x and -4 for y and 3 for m. Then calculate b. Knowing b will allow you to enter b in the general form of

y = mx + b and that should be one of the answers.

## To find the equation of the line that passes through the point (-3,-4) with a slope of 3, we can use the point-slope form of a linear equation.

The point-slope form is given by:

y - y1 = m(x - x1),

where (x1, y1) is a point on the line and m is the slope.

Let's substitute the values into the equation:

y - (-4) = 3(x - (-3)).

Simplifying:

y + 4 = 3(x + 3).

Distributing 3 to (x + 3):

y + 4 = 3x + 9.

Rearranging the equation to the general form:

y = 3x + 9 - 4.

Simplifying:

y = 3x + 5.

Therefore, the equation of the line that passes through the point (-3,-4) with a slope of 3 is y = 3x + 5.

Looking at the answer choices, the correct option is d. y = 3x + 5.