Question

A line passes through (5,-2) with a slope of 1/4. Write the equation in slope-intercept form.

Answer 1

The answer is y = 1/4x + 0.75

Answer 2

Answer: y = $\frac{1}{4}$x - 3 $\frac{1}{4}$

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 = ($\frac{1}{4}$)x + b

    Now, we will solve for the y-intercept by plugging in the point they give us.

y = ($\frac{1}{4}$)x + b

(-2) = ($\frac{1}{4}$)(5) + b

-2 = 1.25 + b

-3 $\frac{1}{4}$ = b

    Lastly, we will plug this variable into the equation we wrote above for our final answer.

y = $\frac{1}{4}$x - 3 $\frac{1}{4}$

    Read more about writing a slope-intercept form equation for this problem here:

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