Question

(01.05) Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form. (2 points) Group of answer choices y − 1 = 2(x − 3) y − 3 = 2(x − 1) x − 1 = 2(y − 3) x − 3 = 2(y − 1)

Answer 1

Option II is right.

Explanation:

Given that a line passes through (1, 3) and has a slope of 2 in point-slope form.

We have one point on the line and also the slope

Hence we can use point slope formula for line equation

namely
`y-y_1 = m(x-x_1)`

substitute for points and slope

`y-3=2(x-1)\\`

is the equation of the line

Answer 2

Answer: point - slope form

y-3=2(x-1)

Explanation:

Step 1:-

The equation of the line that passes through the point
`(x_(1) ,y_(1))`and having slope 'm' is

`(y-y_(1)) = m(x-x_(1) )`

Given slope m= 2 and the point is
`(x_(1) ,y_(1))` = (1,3)

The equation of the line that passes through the point
`(1 ,3)`and having slope m=2 is

`(y-3) = 2(x-1 )`

`y-3=2x-2`

on simplification ,we get

`2x-y=-2+3`

2x-y=1

The equation of the straight line is 2x-y-1=0