SOLUTION: The linear equation y = 3x – 5 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below).
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Question 145231: The linear equation y = 3x – 5 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below).
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's graph the equation
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 3 and the run is 1. This means that to go from point to point, we can go up 3 and over 1
So starting at
, go up 3 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
So we can see that the graph is a diagonal line.
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