Question

Write an equation of the line. (0,1) (5,2)

Answer 1

Y= 1/5x + 1
I think that is right.

Answer 2

`y= (1)/(5)x + 1`

Explanation:

Given points (0,1) and (5,2):

Let (x1, y1) = (0,1)

(x2, y2) = (5,2)

Use the follwing slope formula to calculate the slope of the line:

`m = (y2 - y1)/(x2 - x1)`

Plug in the values for (x1, y1) and (x2, y2):

`m = (y2 - y1)/(x2 - x1) = (2 - 1)/(5 - 0) = (1)/(5)`

Therefore, the slope of the line is
`(1)/(5)` .

Next, we must determine the y-intercept, which is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is the value of y when x = 0.

Therefore, using the slope-intercept form, y = mx + b, and one of the points, (5, 2):

Let y = 2, x = 5, and m =
`(1)/(5)`

y = mx + b

2 =
`(1)/(5)(5)` + b

2 = 1 + b

Subtract 1 from both sides of the equation:

2 - 1 = 1 + b - 1

b = 1

The y-intercept of the line is (0, 1), or b = 1.

Therefore, the equation of the line is:

`y= (1)/(5)x + 1`