SOLUTION: ((( write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope intercept form, where possible. (1 , -4), m = -4
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Question 233716: ((( write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope intercept form, where possible. (1 , -4), m = -4 )))
Please help with this problem. I am confused on this one. I think the equation would be y = -4x + 0 but I am not sure
Found 2 solutions by Alan3354, Theo:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(1,-4), m = -4
y = mx + b
Sub to find b
-4 = -4*1 + b
b = 0
-------
y = -4x
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
m = -4 means slope = -4.
slope-intercept form of equation of a straight line is y = mx + b.
m is the slope.
b is the y-intercept.
your equation starts of with the slope-intercept generic form of y = mx + b
replace m with -4 to get y = -4x + b
your line goes through the point (x,y) = (1,-4)
that means the x-coordinate is 1 and the y coordinate is -4.
to find the y-intercept, you replace y with -4 and x with 1 in the equation and solve for b.
your equation of y = -4x + b becomes:
-4 = (-4 * 1) + b
This becomes:
-4 = -4 + b
add 4 to both sides of this equation to get:
b = 0
Your equation that was:
y = -4x + b becomes:
y = -4x + 0 which becomes:
y = -4x
Looks like you got it right.
A graph of your equation look like:
It's got a slope of -4 and it passes through the point (x,y) = (1,-4)
when x = 1, y = -4x means that y = -4 * 1 which means that y = -4
the graph confirms that.
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