Question

What is the slope of the line that passes through the points (4, 7) and (8, 9)

Answer 1

Answer:

y = 0.5x + 5

Step-by-step explanation:

Use the slope formula to find the slope of a line given the coordinates of two points on the line.

The slope formula is:

m = $\frac{y{2}-y{1} }{x{2}- x{1} }$ = $\frac{y}{x}$

The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.

Now let's fill in the formula with the points,

m = $\frac{8-4}{9-7}$

Solve,

⇒ Y = 9 – 7 = 2

⇒ X = 8 – 4 = 4

m = $\frac{8-4}{9-7}$ = $\frac{2}{4}$

Simplify,

⇒ $\frac{2}{4}=\frac{1}{2}=0.5$

Therefore, the Equation of the line is y = 0.5x + 5.