Question

Write and equation that represents the line

Answer 1

y =
`(3)/(4)x+2`

Explanation:

In the figure attached,

Graph of the line passes through the two points (0, 2) and (4, 5).

Let the equation of this line is y = mx + b

Here m = slope of the line

b = y-intercept

Since slope of the line passing through two points is represented by,

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

=
`((5-2))/((4-0))`

=
`(3)/(4)`

Y-intercept of the line 'b' = 2 units

Therefore, equation of the line will be,

y =
`(3)/(4)x+2`