Question

Find an equation for the line that passes through the points 2, 4) and (4, 6).​

Answer 1

Answer: y=x+2

Explanation:

y= mx + b

m = (y2-y1)/(x2-x1)

m= 2/2

m=1

Now substitute to find b:

4 = 2 + b

b = 2

Therefore: y=x+2

Answer 2

y = x + 2

Explanation:

We can use the point-slope formula to find the equation of the line that passes through the two given points (2, 4) and (4, 6).

The formula is:

(y - y1) = m(x - x1)

Where m is the slope of the line, and (x1, y1) is one of the given points on the line.

First, we can calculate the slope of the line using the two given points:

slope (m) = (change in y) / (change in x)

slope (m) = (6 - 4) / (4 - 2)

slope (m) = 2/2

slope (m) = 1

Now we can choose either point to use in the point-slope formula. Let's choose (2, 4):

(y - 4) = 1(x - 2)

Simplifying:

y - 4 = x - 2

Adding 4 to both sides:

y = x + 2