SOLUTION: HI. Show that the x-intercept of the graph of Ax+By=C is (C/A,0) thanks. H.C.

Question 179606: HI.
Show that the x-intercept of the graph of Ax+By=C is (C/A,0)
thanks.
H.C.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To find the x-intercept, simply plug in and solve for "x":

Start with the given equation.

Plug in

Multiply

Simplify

Divide both sides by A to isolate "x".

So this means that when , then which means that the x-intercept is

Note:

RELATED QUESTIONS
6. Tayler claims that when a linear equation is written in general form, Ax + By + C =... (answered by josgarithmetic)

If {{{ax^2+2hxy+by^2+2gx+2fy+c=0}}} represents a pair of straight lines then show that... (answered by ikleyn)

What is the y-intercept of he line ax + by =c? a. What is the x-intercept? (answered by Alan3354)

One root of the equation ax^2 + 2bx + c = 0 is the reciprocal of the square of the other... (answered by Edwin McCravy)

Graph f(x)= ax^2+bx+c A) state the number of real number solutions of ax^2+bx+c=0... (answered by josgarithmetic)

Find the equation of the line that is tangent to the graph of y = x3 at the point (-2 ,... (answered by Alan3354)

Give the General equation of the line, with integer coefficients ( Ax + By + C = 0,... (answered by greenestamps,josgarithmetic)

Find the slope and y-intercept of the graph of the equation Ax+By=C where B is not equal... (answered by jim_thompson5910)

if the roots of x^2-ax+b=0 are real & differ by a quantity which is less than... (answered by jsmallt9)