Write an equation for (0, 3) and (7, 7). Solve for y.

Answer 1

To find the equation for the given two points (0, 3) and (7, 7), we can use the point-slope form of a linear equation which is given by:

y - y1 = m(x - x1),

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

First, let's find the slope (m) using the formula:

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

where (x1, y1) = (0, 3) and (x2, y2) = (7, 7).

m = (7 - 3) / (7 - 0)
= 4 / 7.

Now, using the point-slope form with the point (0, 3):

y - 3 = (4/7)(x - 0).

This simplifies to:

y - 3 = (4/7)x.

By isolating y, we get:

y = (4/7)x + 3.

So, the equation for the line passing through the points (0, 3) and (7, 7) is y = (4/7)x + 3.