Question

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

Answer 1

Answer:

$y=2x-5$

Step-by-step explanation:

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

$m=\frac{y_2-y_1}{x_2-x_1}$

Identify your values:

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

Substitute:

$m=\frac{3-(-5)}{4-0}$

Combine terms:

$m=\frac{8}{4}$

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:

$y=2x-5$