Answer:
y = (3/4)x -13
Explanation:
First, let's understand what it means when the question asks for the answer in slope-intercept form.
Slope intercept form: y=mx+b
m: Slope
b: Y-intercept
Next, let's write down what was given to us.
m: 3/4
Point on line: (8,-7)
First, let's replace m with 3/4 in our slope intercept form equation.
y=mx+b
y=(3/4)x+b
Now, we know that (8,-7) is a point of the graph. What this means is that when x=8, y must equal -7. Knowing this, lets replace x and y in our slope intercept form equation to solve for b.
y=(3/4)x+b
-7 = (3/4)(8) + b [Simplify]
-7 = 6 + b [Subtract 6 from both sides]
-13 = b
Lastly, let's put all the information we have together to write the equation of the line.
y=mx+b
m: Slope / (3/4)
b: Y-intercept / -13
y = (3/4)x -13
To check our answer, I plugged the equation into a grapher and made sure that the line produced had a slope of 3/4 and went through the point (8,-7). Attached is the graph of the line.
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