Question

Use the graph to write a linear function that relates y to x.

A line graphed on a coordinate plane. The line passes through the points at ordered pair negative 2 commas 0 and ordered pair 0 comma negative 1.

Answer 1

Answer: y = -0.5*x - 1

Explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Here we know that we have a line that passes through the points (-2, 0) and (0, -1)

Then the slope for this line is:

a = (-1 -0)/(0 - (-2)) = -1/2 = -0.5

Then our line is something like:

y = -0.5*x + b

now we know that this line passes trough the point (0, -1), this means that when x = 0, y must be equal to -1

Then we can replace these values in the equation in order to find the value of b.

-1 = -0.5*0 + b

-1 = b

Then the equation is:

y = -0.5*x - 1