Question

HARD 30 points please help me :(

A liner function goes through the points (1, 2) and (-3, 5) Calculate the slope of the line in simplest form

M = Y2 - Y1
X2 - X1
Show your work, please

Slope (m) =

Answer 1

To calculate the slope of the line that passes through the points (1, 2) and (-3, 5), we use the slope formula:

m = (Y2 - Y1) / (X2 - X1)

where (X1, Y1) = (1, 2) and (X2, Y2) = (-3, 5).

Substituting the values into the formula, we get:

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

m = 3 / (-4)

Simplifying the fraction by dividing both the numerator and denominator by their greatest common factor of 1, we get:

m = -3/4

Therefore, the slope of the line in simplest form is -3/4.