a graph has the points (0, 0) (3, 7), what is the equation for this line?

Answer 1

To find the equation for the line passing through the points (0, 0) and (3, 7), we can use the point-slope formula. The formula is:

y - y1 = m(x - x1)

where (x1, y1) is one of the points, and m is the slope of the line.

First, calculate the slope using the formula:

m = (y2 - y1) / (x2 - x1)
m = (7 - 0) / (3 - 0)
m = 7 / 3

Now, choose one of the points, for example (0, 0), and substitute the values into the point-slope formula:

y - 0 = 7/3(x - 0)
y = 7/3x

Thus, the equation for the line passing through the points (0, 0) and (3, 7) is y = 7/3x.