Question

Write the equation of the line that goes through the points : (0, - 5) and (2, 3)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation of the line that goes through the points (0, -5) and (2, 3), 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) is a point on the line.

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

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

where (x1, y1) = (0, -5) and (x2, y2) = (2, 3):

m = (3 - (-5)) / (2 - 0)
= 8 / 2
= 4

Now that we have the slope (m = 4), we can choose one of the given points (0, -5) and substitute it into the point-slope form:

y - (-5) = 4(x - 0)
y + 5 = 4x

This is the equation of the line that goes through the points (0, -5) and (2, 3).