Question

What is the line that has X-intercept of 3 and the slope is 5?

Answer 1

`y=5x-15`

Explanation:

The equation of a line in `color(blue)"point-slope form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))`
where m represents the slope and `(x_1,y_1)" a point on the line"`

`"x-intercept " =3rArr(3,0)" is a point on the line"`

`"here " m=5" and " (x_1,y_1)=(3,0)`

substitute these values into the equation.

`y-0=5(x-3)`

`rArry=5x-15" is the equation of the line"`