what is the y-intercept of -3 and point (-2,7)

Answer 1

Hello Alexis,

If we are given a slope of -3 and point (-2,7), we can use the "point-slope"

formula to determine the y-intercept.

The point-slope formula is as follows: y – y₁ = m(x – x₁)

The variable "m" represents the slope which is -3.

The variable y₁ = 7.

The variable x₁ = -2.

When we substitute these values in to the variables, we get the following:

y - 7 = -3(x - (-2))

Now, we can put this equation into the slope-intercept form by solving for y.

y - 7 = -3(x +2)

y - 7 = -3x - 6

y - 7 + 7 = -3x - 6 +7

y = -3x + 1

We can now determine the y-intercept by setting the variable x to zero.

y = -3(0) + 1

y = 1

The y-intercept for this equation is 1.