Question

Has an x-intercept of (4,0) and a y- intercept of (0,-2)

Write the equation in standard form, slope intercept form and point slope form

Answer 1

Just to be different we'll start with intercept intercept form which says the line through x intercept (a,0) and y intercept (0,b) is

`\frac x a + \frac y b = 1`

Through (4,0) and (0,-2) that's

`(x)/(4) + (y)/(-2) = 1`

Multiply through by the common denominator of 4 for standard form:

x - 2y = 4

For slope intercept form we solve for y

-2 y = -x + 4

y = (1/2) x - 2

We see our slope is (1/2) and we go through (4,0) so point slope form is

y - 0 = (1/2)(x - 4)

y = (1/2)(x-4)