Question 77589: Write the equation of the line, in slope-intercept form, that contains the points: (7,4) and (-8,4)
Answer by Edwin McCravy(20059)   (Show Source):
You can put this solution on YOUR website!
Write the equation of the line, in slope-intercept
form, that contains the points: (7,4) and (-8,4)
Use the slope formula:
y2 - y1
m = —————————
x2 - x1
where (x1, y1) = (7, 4) and (x2, y2) = (-8, 4)
(4) - (4) 0
m = ——————————— = ———— = 0
(-8) - (7) -15
Now substitute in the point slope formula:
y - y1 = m(x - x1)
y - 4 = 0(x - 7)
y - 4 = 0x - 0
y = 0x + 4
It's normally written just y = 4, but with the
0x in there it is in the form
y = mx + b
where the slope is 0 and the y-intercept is the
point (0, b) which is (0, 4). The line is a horizontal
line 4 units above the x-axis:
Edwin
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