What is the equation of the line that goes through the points (3,7) and (6,9) ?

Answer 1

We can use the formula for the slope of a line, which is:

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

where (x1, y1) and (x2, y2) are two points on the line. Plugging in the values we get:

slope = (9 - 7) / (6 - 3) = 2/3

Now we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is one of the points on the line. We can choose either point, so let's use (3,7):

y - 7 = (2/3)(x - 3)

Expanding and simplifying, we get:

y = (2/3)x + 6

This is the equation of the line that goes through the points (3,7) and (6,9).