Question

Write an equation in standard form that has an x-intercept of (2.0) and a y-intercept of (-4.0).

Answer 1

Standard form of a line:

`Ax+By=C`

First, let's find equation of the line in slope intercept form, y = mx + b.

Where m is slope and b is y intercept.

The slope is change in y's divided by change in x's.

The points are:

(2, 0)

and

(0, -4)

Slope = change in y/change in x = (-4-0)/(0-2) = -4/-2 = 2

Equation becomes:

y = 2x + b

we know y intercept is -4, so equation becomes:

y = 2x - 4

Now, we just need to put it into standard form. Shown below:

`\begin{gathered} y=2x-4 \\ -2x+y=-4 \end{gathered}`