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

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

y = 3/4x + 5

Step-by-step explanation:

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

Calculate the slope:

$m=\dfrac{5-8}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}$

Therefore we have the equation of the line:

$y=\dfrac{3}{4}x+5$