a line passes through the point (-7,-4) and has a slope of 3 write an equation for this line

To write the equation of a line, we can use the point-slope form. The point-slope form is given as:

y - y1 = m(x - x1)

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

In this case, the given point is (-7, -4) and the slope is 3. We can substitute these values into the point-slope form:

y - (-4) = 3(x - (-7))

Simplifying:

y + 4 = 3(x + 7)

Next, we can distribute the 3 to both terms inside the parentheses:

y + 4 = 3x + 21

Finally, we can rearrange the equation to get it in the standard form:

y = 3x + 21 - 4
y = 3x + 17

So, the equation of the line that passes through the point (-7, -4) with a slope of 3 is y = 3x + 17.

y-(-4). 3(x-(-7))

y + 4 = 3x + 21

y + 4-4 = 3x +21-4

y = 3x +14