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Answer: y = [tex]\frac{1}{4}[/tex]x - 3 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Slope-intercept form is in the form of y=mx + b where m is the slope and b is the y-intercept.
We are given the slope, so we will plug this in.
y = mx + b
y = ([tex]\frac{1}{4}[/tex])x + b
Now, we will solve for the y-intercept by plugging in the point they give us.
y = ([tex]\frac{1}{4}[/tex])x + b
(-2) = ([tex]\frac{1}{4}[/tex])(5) + b
-2 = 1.25 + b
-3 [tex]\frac{1}{4}[/tex] = b
Lastly, we will plug this variable into the equation we wrote above for our final answer.
y = [tex]\frac{1}{4}[/tex]x - 3 [tex]\frac{1}{4}[/tex]
Read more about writing a slope-intercept form equation for this problem here:
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