What is the slope-intercept form of the function that contains the point (–1, 5) and has a slope of –4?
y =__ x +__
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OpenStudy (anonymous):
i already know y = -4 x + __
OpenStudy (anonymous):
@cwrw238
OpenStudy (cwrw238):
yes thats correct -4 is the slope and goes in front of the x
OpenStudy (cwrw238):
now you know a point on the line reprenting the equation - that is (-1,5) which tells you that when x = -1 y = 5
so you replace the x and y with -1 and 5;-
5 = -4(-1)x + c
- i just called the number we need to find c
OpenStudy (cwrw238):
sorry that should be
5 = -4(-1) + c
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OpenStudy (cwrw238):
now we need to find c
now -4*-1 = 4 so
5 = 4 + c
can you find what c is?
OpenStudy (anonymous):
c = 1
OpenStudy (cwrw238):
right
so the final answer is
y = -4x + 1
OpenStudy (anonymous):
Thank you so much :D
OpenStudy (cwrw238):
yw
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OpenStudy (cwrw238):
there is a general formula for slope-intercept
y = mx + c
where m = slope and c = intercept on y-axis