Question

What is the slope of the line that passes through the points (4, 7) and (5, 8) ? Write your answer in simplest form.

Answer 1

Given two points $(x_1,y_1)$ and $(x_2,y_2)$, the slope of the line which connects them is

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

So, in your case, the slope is

$m=\dfrac{8-7}{5-4}=\dfrac{1}{1}=1$

Answer 2

Answer: slope of the line is 1

Step-by-step explanation:

Slope of the line is calculated by

y2-y1/x2- x1

Locate the coordinates points:

(4, 7) and (5, 8)

X1 = 4; X2 = 5

Y1 = 7; Y2 = 8

Insert the values into the formula

Slope = 8 - 7/5 - 4

Slope = 1/1

Slope = 1