SOLUTION: Question 5: Sketch a graph of y=f(x) F(x)=-4x + 3 Graph the equation

Algebra ->  Linear-equations -> SOLUTION: Question 5: Sketch a graph of y=f(x) F(x)=-4x + 3 Graph the equation       Log On


   

Question 627133: Question 5: Sketch a graph of y=f(x)
F(x)=-4x + 3
Graph the equation
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Looking at y=-4x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-4 and the y-intercept is b=3


Since b=3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is -4, this means:

rise%2Frun=-4%2F1


which shows us that the rise is -4 and the run is 1. This means that to go from point to point, we can go down 4 and over 1



So starting at , go down 4 units


and to the right 1 unit to get to the next point



Now draw a line through these points to graph y=-4x%2B3

So this is the graph of y=-4x%2B3 through the points and

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