Question

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

Answer 1

y = 0.5x + 5

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} }` =
`(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 =
`(8-4)/(9-7)`

Solve,

⇒ Y = 9 – 7 = 2

⇒ X = 8 – 4 = 4

m =
`(8-4)/(9-7)` =
`(2)/(4)`

Simplify,

⇒
`(2)/(4)=(1)/(2)=0.5`

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