Question

Which linear function has the same y-intercept as the one that is represented by the graph? On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3). a y = 2 x minus 4 b y = 2 x minus 3 c y = 2 x + 3 d y = 2 x + 4

Answer 1

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.

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