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

User Nunser
by
7.6k points

1 Answer

3 votes

Answer:

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.

User Dviros
by
7.7k points

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