Find the equation of a line in slope-intercept from with an x-intercept of 4 and a y-intercept of -3

The equation of a line in slope-intercept from with an x-intercept of 4 and a y-intercept of -3 is

Solution:

Given, a line in slope-intercept from with an x-intercept of 4 and a y-intercept of -3

We have to find the line equation with above given intercept values.

We know that, line equation in intercepts form is

where a, b are x, y intercepts respectively.

Now our equation in slope intercept form will be

So, we derived the equation in slope intercept form where slope =3/4 and intercept = -3

Hence, the slope intercept form the line is

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f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option