Question

Write the equation of a line that
goes through the point (-2, 3)
with a slope of 2.

Answer 1

Answer is y= 2x +7

Step by step.

Using y intercept form, find y intercept by substituting the known points and slope into the equation and solve for b.

y = mx + b.

3 = (2) (-2) + b

3 = -4 + b

Now solve for b by adding 4 to both sides.

7 = b

Now we have y = 2x +7 as our equation.

Problem solved!

Answer 2

y = 2x + 7

Explanation:

y = mx + b The point (-2,3) gives us an x value and a y value that we can use. We are also give the slope (m). All we need to do is figure out the b (y-intercept) value.

y = mx + b

3 = 2(-2) + b

3 = -4 + b Add for to both sides

7 = b We know have every thing that we need to write the equation. We have the slope (m) which is 2 and the b (y-intercept) that we just figured out is 7

y = 2x + 7