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Sagot :
The line which is having same y intercept as the line which passes through points (-4,0) and (0,3) is y=2x+3.
Given Points through which the line passes through are (-4,0) and (0,3)
We have to find the equation whose y intercept is equal to the y intercept of the line whose points given above.
First of all we have to find the y intercept of the line which passes through (-4,0) and (0,3). Equation of line is :
y-y1=(y2-y1)/(x2-x1)*(x-x1)
y-0=(3-0)/(0+4) *(x+4)
y=3/4(x+4)
y -intercept exists where x=0
put x=0
y=3
So the options are:
- y=2x-4
- y=2x-3
- y=2x+3
- y=2x+4
By putting the value of x in all options we will find
y=-4
y=-3
y=3
y=4
So the third option is correct.
Hence the line whose y-intercept matched with the given line is y=2x+3.
Learn more about line at https://brainly.com/question/13763238
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