Question

Write the point slope form of the equation with the given characteristics:

Slope = 1/2; x intercept = 3

Answer 1

point-slope form: y - 0 = ½(x - 3)

Explanation:

Given the slope, m = ½, and the x-intercept, (3, 0):

We can substitute these values into the point-slope form:

y - y1 = m(x - x1)

y - 0 = ½(x - 3) ← This is the point-slope form.

If ever you need to transform the point-slope form into its slope-intercept form, y = mx + b:

Distribute ½ into the parenthesis:

y - 0 = ½(x - 3)

y = ½x - 3/2 (this is the slope-intercept form).