Question

Given the following two points write the equation in slope intercept form: (0, -5) and (4, 3)

Answer 1

`y=2x-5`

Explanation:

Let's start by finding the slope using the two points given. Use the formula for slope below:

`m=(y_2-y_1)/(x_2-x_1)`

Identify your values:

`x_1=0\\x_2=4\\y_1=-5\\y_2=3`

Substitute:

`m=(3-(-5))/(4-0)`

Combine terms:

`m=(8)/(4)`

Simplify:

`m=2`

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Let's graph these two points. As seen on the graph attached, we can see that
`-5` is the y-intercept. With our slope and y-intercept, we have the information needed to formulate an equation in slope-intercept form:

`y=mx+b`

Identify your values:

`m=2`

`b=-5`

Substitute:

`y=2x-5`