what is the x intercept for 4x-2y=-5

Question

Trying to figure out the y and x intercept for 4x-2y=-5

Answer 1

( ? - 0)

 

 

4x -2y = -5

 

4x - 2(0) = -5

 

X = - 5/4

 

X intercept : ( -5/4 ,0 )

Answer 2

what is the x intercept for 4x-2y=-5?

 

Intercepts are just intersections, but with axes lines.

 

Some authors treat the point of intersection as the intercept, others (most) define an intercept as only the non-zero coordinate of the intersection point.

 

All points on the y-axis are of the form (0,y) and all points on the x-axis are of the form (x,0).

 

So to find the intercepts given an equation just set one of the equation's variables to zero and solve for the other; that value will be that variable's intercept.

 

There is a linear equation form called the Intercept Form, easily found from the Standard Form by dividing by the constant term and the reciprocals of the coefficients ; e.g.,

 

4x-2y=-5

 

Divide by -5 and reciprocal coefficients:

 

x/(-5/4) + y/(5/2) = 1

 

Setting one variable to 0 makes the other variable's intercept clearly visible.

 

This form is similar to the form of equations for circles, ellipses, and hyperbolas, so it's useful to gain exposure to it.