SOLUTION: can you help me find what the slope and the y-intercept are in this problum f(x)= -8x-4
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Question 415640
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can you help me find what the slope and the y-intercept are in this problum
f(x)= -8x-4
Answer by
Theo(13342)
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this equation is in the form of y = mx + b where m is the slope and b is the y intercept.
f(x) = y = -8x - 4
m = -8 = slope
b = -4 = y intercept
graph of this equation is shown below:
the equation that is graphed is y = -8x - 4
the y intercept is the value of y when x equals 0.
when x = 0, y = -4.
the slope is -8.
you can see this by tracking the change in y divided by the change in x.
when x = 0, y = -4
when x = 1, y = -12
when x = 2, y = -20
let x1,y1 = 0,-4
let x2,y2 = 2,-20
x2-x1 = 2 - 0 = 2
y2 - y1 = -20 - (-4) = -16
change in y divided by change in x = -16 / 2 = -8 which is your slope.
you can also see that the graph of the equation crosses the y axis when y = -4.
the value of y when x equals 0 falls on the y-axis.