Question

The point (21, 32) is on a line with slope 2. Find the equation of the line Flint: substtute the point x, y) and slope m) into y = ma + o. solve for b. write your equation..

Answer 1

To find the equation of the line passing through the point (21, 32) with a slope of 2, you can use the point-slope form of a linear equation, which is:

y - y1 = m(x - x1)

Where:

(x1, y1) is the given point (21, 32).

m is the slope, which is 2 in this case.

Substitute the values into the formula:

y - 32 = 2(x - 21)

Now, simplify the equation:

y - 32 = 2x - 42

Next, add 32 to both sides to isolate y:

y = 2x - 42 + 32

y = 2x - 10

So, the equation of the line passing through the point (21, 32) with a slope of 2 is:

y = 2x - 10