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Find the x- and y-intercepts of the following line: 4x − 3y = 12

User Alexis Peters
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1 Answer

20 votes
20 votes

Answer:

x-intercept: (3,0)

y-intercept: (0,-4)

Explanation:

To find the x and y-intercepts, we first need to understand what they are. X and y-intercepts are points on the line that passes through the x-axis and y-axis. When a point is an x-intercept, it passes through the x-axis. This means the x-coordinate is an integer, while the y-coordinate is always 0. This can be denoted by (x,0). When a point is a y-intercept, it passes through the y-axis. This means the y-coordinate is an integer, while the x-coordinate is always 0. This can be denoted by (0,y).

Now that we know what x and y-intercepts are, we can plug in x=0 and y=0 to find the intercepts.

x-intercept

4x-3y=12 [plug in y=0]

4x-3(0)=12 [multiply]

4x-0=12 [add both sides by 0]

4x=12 [divide both sides by 4]

x=3

---------------------------------------------------------------------------------------------------------

y-intercept

4x-3y=12 [plug in x=0]

4(0)-3y=12 [multiply]

0-3y=12 [subtract both sides by 0]

-3y=12 [divide both sides by -3]

y=-4

Therefore, the x-intercept is (3,0) and y-intercept is (0,-4).

User Jenkizenki
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