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meriva
3 years ago
9

What is x-intercept of the line with the equation 4×+2y=12?

Mathematics
2 answers:
iren [92.7K]3 years ago
8 0
3
to solve, plug in 0 for y

4x+2(0)=12
4x=12
x=3
Julli [10]3 years ago
5 0
The X-intercept is a point where the line crosses the X lines. That means it would be the point where Y=0. Then to find the X-intercept you only need to insert Y=0 into the equation. The calculation would be:

<span> 4×+2y=12
4X+ 2 (0)= 12
4X =12
X=12/4 = 3</span>
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Slope intercept form of a line is y=mx+b where m= slope and b=y-intercept.

Now compare this form with the tiven equation y=4x-9 to get the value of m.

So, m= 4.

Slope of all parallel lines are always equal. Which means the line which is parallel to this has also the same slope: m=4.

Now we need to find the value of b to get the equation. That parallel line passes through (-5,3).

The point intercept form of a line is,

(y-y1)=m(x-x1)

So, we can plug in the m=4, x1=-5 and y1=3 in the above equation. Hence,

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y-3=4(x+5) Since -(-5)=+5

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y=4x+20+3 Adding 3 to each sides.

y=4x+23

So, the slope-intercept form of that parallel line is y=4x+23.

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