SOLUTION: Find the x and y- intercepts, if they exist. -4x + 8y =12

Question 110857: Find the x and y- intercepts, if they exist. -4x + 8y =12
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
Plug in

Simplify

Divide both sides by -4

Reduce

So the x-intercept is

(note: the x-intercept will always have a y-coordinate equal to zero)

------------------

Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
Plug in

Simplify

Divide both sides by 8

Reduce

So the y-intercept is

(note: the y-intercept will always have a x-coordinate equal to zero)

------------------------------------------

So we have these intercepts:
x-intercept:

y-intercept:

Now plot the two points

and

(which is the point (0,1.5) in decimal form)

Now draw a line through the two points to graph
graph of through the points

and

RELATED QUESTIONS
How do I find the x and y intercepts, if they exist, for... (answered by Theo)

Find the x- and y- intercepts (if they exist), and graph the line. -x -y = 0 (answered by MathLover1)

Find the x and y-intercepts, if they exist. y=... (answered by scott8148,bucky)

Find the x- and y- intercepts (if they exist), and graph the line 20x=-40y-200 (answered by Boreal)

Find the x and y-intercepts, is they exist.... (answered by scott8148)

identify the vertex,axis of symmetry and intercepts (if they exist) of the function:... (answered by oberobic)

let F(x)=(x^2)-2x+3. find the axis of symmetry, vertex, and the x and y intercepts if... (answered by Nate)

Find the x- and y-intercepts. If no x-intercepts exist, state so. {{{f(x) = 2x2 - 2x - (answered by oberobic)

Find the x- and y-intercepts. If no x-intercepts exist, state so. f(x) = 2x2 - 2x -... (answered by checkley77)