Question

Line GH passes through points (2, 5) and (6, 9). Which equation represents line GH?

y = x + 3
y = x – 3
y = 3x + 3
y = 3x – 3

Answer 1

First, we need to find the slope of the line passing through the points (2, 5) and (6, 9).

The slope is calculated using the formula: m = (y2 - y1) / (x2 - x1)

Using the points (2, 5) and (6, 9), we get:

m = (9 - 5) / (6 - 2)
m = 4 / 4
m = 1

Now that we have the slope, we can use one of the points to find the y-intercept. Using point (2, 5) and the slope of 1:

5 = 1(2) + b
5 = 2 + b
b = 3

Therefore, the equation representing line GH is y = x + 3.