Question

Slope intercept form of x intercept=3 y intercept=-5

Answer 1

`y = (5)/(3) x - 5`

Explanation:

To write an equation in the slope-intercept form, we need the slope (which can also be calculated) and at least a coordinate.

What is slope-intercept form?

• y= mx +c, where m is the slope and c is the y-intercept
• When the coefficient of y is 1, and all the other terms are on the right-hand side of the equation

x- intercept occurs at y= 0 while y-intercept occurs at x= 0. With this information, let's write out the two coordinates given.

• (3, 0) and (0, -5)

With two coordinates, we can calculate the slope using the equation below.

`\boxed{ slope = (y _(1) - y_2 )/(x_1 - x_2) }`

`slope = ( - 5 - 0)/(0 - 3)`

`slope = ( - 5)/( - 3)`

`slope = (5)/(3)`

Substitute the value of the slope into m in the equation.

`y = (5)/(3) x + c`

Given that the y-intercept is -5, c= -5.

`y = (5)/(3) x - 5`