Question

Write the equation of the line through (0, −2) and (3, 13) in point-slope form. The line through (0, −2) and (3, 13) in point-slope form is

Answer 1

• y + 2 = 5x

Explanation:

Point-slope form:

• y - y1 = m(x - x1)

Slope formula:

• m = (y2 - y1)/(x2 - x1)

Given points:

• (0, -2) and (3, 13)

Finding the slope:

• m = (13 - (-2))/(3 - 0)
• m = 15/3
• m = 5

Using point 1

• y - (-2) = 5(x - 0)
• y + 2 = 5x