Question

Write the point-slope form of the equation of the line through the given points:

Through: (0, 1) and (-3, 2)
Example:

Find the slope

(2) - (1) / (1) - (0) = 1 / -1 = -1

(-3) - (0) / (-3) - (0) = -3 / 3 = -1

Using point-slope form:

y - 1 = -1(x - 0)

y - 1 = -x

+1 + 1

Answer 1

The slope of the line passing through points (0, 1) and (-3, 2) is -1/3, and using point-slope form, the equation of the line is y - 1 = -1/3x.

Step-by-step explanation:

To write the point-slope form of the equation of a line through the given points (0, 1) and (-3, 2), we need to find the slope and use one of the points as a reference. First, calculate the slope (m) using the formula:

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

For our points:

m = (2-1) / (-3-0) = 1 / -3 = -1/3

With the slope as -1/3, we can write the equation in point-slope form using either point. We will use (0, 1):

y - y1 = m(x - x1)

y - 1 = -1/3(x - 0)

Thus, the point-slope form of the equation is:

y - 1 = -1/3x