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Answer:
y=3/4x + 15
Step-by-step explanation:
Hi there!
We are given that a line passes through the point (-8, 9), and has 3/4 as its slope
We want to find the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept
As we are already given the slope of the line, we can immediately substitute it as m in the equation.
So replace 3/4 for m in y=mx+b:
y=3/4x + b
Now we need to solve for b
As the equation passes through the point (-8, 9), we can use its values to help solve for b.
Substitute -8 as x and 9 as y in the equation so far
9 = 3/4(-8) + b
Multiply
9 = -6 + b
Now add 6 to both sides
9 = -6 + b
+6 +6
___________
15 = b
Substitute 15 as b into the equation
y = 3/4x + 15
Hope this helps!
Topic: Finding the equation of the line
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