Question

Write an equation in point-slope form and slope-intercept form for

each line.
the line passes through (4, 7), slope = 2

Answer 1

Answer: y=2x-1

Explanation:

Equation of a line that passes through (a,b) and have slope m is given by :-

`(y-b)=m(x-a)` [point slope form]

Given, Point = (4,7) , m= 2

Equation in point slope form :
`(y-7)=2(x-4)`

To write in slope intercept form (y=mx+c) , we need to simplify it

`y-7= 2x-8\\\\\Rightarrow\ y-2x=-8+7\\\\\Rightarrow\ y-2x=-1\\\\\Rightarrow\ y=2x-1`

Hence, y=2x-1