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What is the equation of a line that goes through the points (7,10) and (5,4)?

1 Answer

4 votes

Answer:

y = 3x - 11

Explanation:

Slope of a line between two points : (y2 - y1)/(x2-x1)

Choose which is 1 and which is 2

(7,10) = x2, y2,

(5,4) = x1, y1

Plug in the values for the equation

(10-4)/(7-5)

6/2

3

The slope is 3, but we must find the entire equation (y=mx+b)

To find b, plug in a point into the slope intercept formula

y = 3x + b

We can plug in the coordinate (5,4) (x : 5, y : 4)

4 = 3(5) + b

4 = 15 + b

Subtract 15 on both sides

-11 = b

Plug all the values into slope intercept formula

y = mx + b

y = 3x - 11

User Mahesh Gareja
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