Question

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

Answer 1

Answer: y=2x-1

Step-by-step 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