Question

How do you write the equation in point slope form given (7,0) and m=4?

Answer 1

`y-0=4(x-7)`

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"`

`"here " m=4" and " (x_1,y_1)=(7,0)`

`rArry-0=4(x-7)larrcolor(red)" in point-slope form"`

`"or " y=4x-28larrcolor(red)" in slope-intercept form"`

Answer 2

`y = 4x-28`

Explanation:

y=mx+c
m=4
y=0
x=7
Therefore `0=4*7+c`
`0=28+c`
`c=-28`
Substitute m and c
`y=4x-28`