Question

(-12,0) and (0,6)put in intercept form

Answer 1

The slope-intercept form of a linear equation is

`y=mx+b`

where m is the slope and b is the y-intercept.

The slope m is

`m=(\Delta y)/(\Delta x)=(6-0)/(0--12)`
`m=(1)/(2)`

And the y-intercept is found by using one of the points given and choosing a value of b that satisfies the equation.

Using the point (0,6) we get

`6=(1)/(2)(0)+b`
`\textcolor{#FF7968}{\therefore b=6}`

Hence, we now have the slope-intercept form

`\textcolor{#FF7968}{y=(1)/(2)x+6.}`