Answer:
[tex]y=2x-5[/tex]
Step-by-step explanation:
Let's start by finding the slope using the two points given. Use the formula for slope below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Identify your values:
[tex]x_1=0\\x_2=4\\y_1=-5\\y_2=3[/tex]
Substitute:
[tex]m=\frac{3-(-5)}{4-0}[/tex]
Combine terms:
[tex]m=\frac{8}{4}[/tex]
Simplify:
[tex]m=2[/tex]
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Let's graph these two points. As seen on the graph attached, we can see that [tex]-5[/tex] is the y-intercept. With our slope and y-intercept, we have the information needed to formulate an equation in slope-intercept form:
[tex]y=mx+b[/tex]
Identify your values:
[tex]m=2[/tex]
[tex]b=-5[/tex]
Substitute:
[tex]y=2x-5[/tex]
