Question

Graph the line that passes through the points (0, - 8) and (- 1, - 9) and determine the equation of the line.

Answer 1

To graph the line that passes through the points (0, -8) and (-1, -9), we first need to find the slope of the line using the formula:

slope = (change in y) / (change in x)

The change in y is -9 - (-8) = -9 + 8 = -1
The change in x is -1 - 0 = -1

slope = -1 / -1 = 1

So the slope of the line is 1.

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

y - y₁ = m(x - x₁)

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

Using the point (0, -8):

y - (-8) = 1(x - 0)
y + 8 = x

Thus, the equation of the line is y = x - 8.