Answers:
Slope intercept equation is y = -4x - 17
The point (-6, 7) is on the graph of the line.
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Step-by-step explanation:
Let's solve for y
y - 7 = -4(x+6)
y - 7 = -4x - 24
y = -4x - 24 + 7
y = -4x - 17
It is now in slope intercept form y = mx+b
m = -4 = slope
b = -17 = y intercept
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Compare the equation y - 7 = -4(x+6) with the point-slope form of y-y1 = m(x-x1)
The (x1,y1) is a point the line goes through.
Rewriting x+6 into x-(-6) has us get y - 7 = -4(x-(-6))
We can see that x1 = -6 and y1 = 7
Therefore, the point (x1,y1) = (-6,7) is on the line.