Find the x & y intercepts for the following linear equation:
y = -3x + 9
Extra: Try to draw the line of y = -3x + 9 after finding the x and y intercepts.
Let's find the y-intercept. From the lesson, we know that the y-intercept is the y-coordinate of a point where the line crosses the y-axis.
0 = x-coordinate
y = y-coordinate = y-intercept
Now, we can solve for the y-intercept:
From the calculation above, we have the y-intercept as 6.
As for the x-intercept, we know that the x-intercept is the x-coordinate of a point where the line crosses the x-axis.
Therefore, let's imagine the coordinate of that point is (x,0), where:
x = x-coordinate = x-intercept
0 = y-coordinate
So, now we can solve for the x-intercept:
From the calculation above, we have the x-intercept as 3.
To summarize, we have:
With these intercepts, we have 2 points with the coordinates:
Hence, by plotting these 2 points on the graph, we are able draw the line of y= -3x + 9 as shown in the picture.
With the y-intercept as 9 and x-intercept as 3, the answer is C.
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