Question

The slope of the line below is 2. Use the coordinates of the labeled point to find the point-slope equation of the line.

Answer 1

Option: D is the correct answer.

The equation of line in point-slope form is given by:

y-9=2(x-1)

Explanation:

We know that the point-slope equation of a line is given by:

y-b=m(x-a)

where (a,b) is the point from which the line passes and m is the slope of the line.

Here we are given that:

The line passes through (1,9) and slope of the line is given to be 2.

Hence,

(a,b)=(1,9) and m=2

Hence, the equation of line is given by:

y-9=2(x-1)

Answer 2

Option D is correct

The point slope intercept equation of line =
`y-9=2(x-1)`

Explanation:

Given: The slope of line (m) = 2 and also it is given from the figure the

Point-slope intercept form: If we have a point
`(x_1, y_1)` and a slope, m, then the formula

we use to find the equation of a line:

`y-y_1=m(x-x_1)` .......[1]

Substitute the value of m =2 and (1, 9) in [1];

`y-9=2(x-1)`

Therefore, the point slope intercept equation of the line is:
`y-9=2(x-1)`