Question

The slope of the line below is 3. Write the equation of the line in point-slope

form, using the coordinates of the labeled point. Do not use parenthesis on
the y-side.
(-1,1)
-5
5
-5

Answer 1

The equation of the line is y = 3x + 4.

Step-by-step explanation:

The equation of a line in point-slope form is given by y - y1 = m(x - x1), where (x1, y1) are the coordinates of a point on the line and m is the slope. In this case, the slope is 3 and the point is (-1, 1). Substituting these values into the equation, we get:

y - 1 = 3(x - (-1))

Simplifying further, we have:

y - 1 = 3x + 3

To remove the parentheses, we distribute 3 to both terms inside, resulting in:

y - 1 = 3x + 3

Finally, we add 1 to both sides of the equation to isolate y:

y = 3x + 4