Question

Write a linear equation that passes through the given two points.

(0, 1) and (5,3)

Answer 1

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

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 1 ) and (x₂, y₂ ) = (5, 3 )

m =
`(3-1)/(5-0)` =
`(2)/(5)`

The line crosses the y- axis at (0, 1 ) ⇒ c = 1

y =
`(2)/(5)` x + 1 ← equation of line

Answer 2

Y= 2/5x +1

Using the first point, you find the Y-intercept (y=mx+1)

Then plug the coordinates into the equation y2-y1/x2-x1

(y=2/5x+1). Hope this helps :))