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.