SOLUTION: Write an equation of the line with the given slope and y-intercept. Then graph it.
m = −2, (0, 3)
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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) (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 we can see that the equation is in slope-intercept form where the slope is and the y-intercept is
Since 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
Also, because the slope is , this means:
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
So this is the graph of through the points and
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