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Write an equation for the line​

Write an equation for the line​-example-1
User Qbolec
by
7.1k points

1 Answer

6 votes

Answer:

slope = 2

equation: y = 2x - 2

a = 5

b = 6

Explanation:

First, you need to get the points' coordinates correctly.

The points starting from the lowest one and going up to the right along the line are:

(2, 2), (3, 4), (4, 6), (5, 8), (6, 10)

The coordinates of the points on the graph are not all correct.

To find the equation of the line, use two points.

Let's use (2, 2) and (6, 10).

slope = m = (y_2 - y_1)/ (x_1 - x_1) = (10 - 2)/(6 - 2) = 8/4 = 2

slope = 2

y = mx + b

Use m = 2, and point (2, 2).

2 = 2(2) + b

2 = 4 + b

b = -2

Equation:

y = 2x - 2

Point (a, 8) = (5, 8)

a = 5

Point (4, b) = (4, 6)

b = 6

User Luke Willis
by
7.9k points