Question

Find an equation of the line containing the given pair of points. Express your answer in the form x=​a, y=​b, or y=mx+b.
​(0​,0​) and ​(7​,2​)

Answer 1

To find the equation of the line, we first need to find the slope (m). The formula to find the slope of a line passing through two points (x1, y1) and (x2, y2) is:

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

Using the points (0, 0) and (7, 2), we can substitute these values into the formula:

m = (2 - 0) / (7 - 0)
m = 2 / 7

So, the slope (m) is 2/7.

Next, we can use the point-slope form of a line to find the equation. The point-slope form is:

y - y1 = m(x - x1)

Using the point (0, 0) and the slope (2/7), we can substitute these values into the equation:

y - 0 = (2/7)(x - 0)

Simplifying, we get:

y = (2/7)x

Thus, the equation of the line containing the points (0, 0) and (7, 2) is y = (2/7)x.