What is the slope of a line with one point at (5,1) and another point at (7,2)?

The slope is 1/2

Step-by-step explanation:

The distance between two points gives a line

The slope, m of a line is given as

m = (y2 - y1) / (x2 - x1)

points are written as coordinates

(x, y)

Given two points with coordinates

Point one

(5,1) Corresponds to (x1, y1)

Point two

(7,2) corresponds to (x2, y2)

Where;

x1 = the value of the x coordinate at point one = 5

y1 = the value of the y coordinate at point one = 1

x2 = the value of the x coordinate at point two = 7

y2 = the value of the y coordinate at point two = 2

m = (2 - 1) / (7 - 5)

m = 1/2

Therefore, the slope of the line is 1/2

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w