Question

How do you write an equation of the line with an x-intercept of 4 and a slope of 3/4?

Answer 1

I found: `y=3/4x-3`

Explanation:

We can use the Slope-Intercept form of the equation of the line as:
`y=mx+c`
Where `m=`slope.
In our case:
`y=3/4x+c`
to find `c` we set that the line has `x`-intercept at the point of coordinates `(4,0)` and substitute into our equation to get:
`0=3/4*4+c`
rearranging we get:
`c=-3`
so finally the equation will be:
`color(red)(y=3/4x-3)`