What is the slope of the line that passes through the point -3,-3 and has a slope of 3?

Answer 1

If a line has a slope of 3 and passes through the point (-3, -3), then the equation of the line can be written in point-slope form:

y - y1 = m(x - x1)

where (x1, y1) is the point the line passes through and m is the slope of the line. In this case, (x1, y1) is (-3, -3) and m is 3. Plugging in these values, we get:

y - (-3) = 3(x - (-3))

Simplifying:

y + 3 = 3(x + 3)

Now, if you are only interested in the slope, then the slope of the line is simply 3, as given in the question. The equation above is just an illustration of how the given slope and point come together to define the equation of the line. But regardless of the specific equation, the slope remains 3.