What is the slope intercept form of the equation of the line that passes through the points (2,7) and (4,-1)
2 answers:
Answer:
y = -4x + 15.
Step-by-step explanation:
The slope = (-1-7)/(4-2)
= -8/2
= -4.
So we have:
y = -4x + b
To find b, we plug in the point (2, 7):
7 = -4(2) + b
b = 7+8 = 15.
So the equation is
y = -4x + 15.
Slope intercept form is y = mx + b.
Y = coordinate y.
M = Slope
X = coordinate x.
B = y-intercept.
Slope formula: (y2-y1) / (x2-x1)
Plug in: (-1 - 7) / (4 - 2) = -4.
We can just insert the pair (2,7) as our x and y to solve b.
7 = -4(2) + b.
Solve for b.
7 = -8 + b.
-b = -8 -7
-b = -15
b = 15.
Original equation:
y = mx + b
y = -4x + 15
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