Question

what is the equation of a line that passes through the points (0,5) and (4,8)? write the answer in slope-intercept form.

Answer 1

The Answer is { y = 3/4x + 5 } In slope-intercept form.

Explanation:

Answer 2

y = 3/4x + 5

Explanation:

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept → (0, b)

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points (4, 8) and (0, 5) → b = 5.

Calculate the slope:

`m=(5-8)/(0-4)=(-3)/(-4)=(3)/(4)`

Therefore we have the equation of the line:

`y=(3)/(4)x+5`