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Alexandra [31]
3 years ago
13

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

Mathematics
1 answer:
Softa [21]3 years ago
4 0

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

_

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

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