SOLUTION: Write an equation of the line with the given slope and y-intercept. Then graph it. m = −2, (0, 3)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write an equation of the line with the given slope and y-intercept. Then graph it. m = −2, (0, 3)      Log On


   

Question 926173: Write an equation of the line with the given slope and y-intercept. Then graph it.
m = −2, (0, 3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The slope is m = -2 and the y-intercept is b = 3


y = mx + b

y = -2x + 3


Let's graph y = -2x+3
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Looking at y=-2x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-2 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 -2, this means:

rise%2Frun=-2%2F1


which shows us that the rise is -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1



So starting at , go down 2 units


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



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

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