Question

What is the slope intercept of the line below

Answer 1

-------------------------------------------------------------------------------------------------------------

Answer:  $\textsf{Option D, y = 2x - 3}$

-------------------------------------------------------------------------------------------------------------

Given: $\textsf{The graph}$

Find: $\textsf{The equation in slope intercept form}$

Solution: Looking at the graph, we can see that the line intersects the y-axis at -3 therefore that is the y-intercept.  All we need to do now is find a second point so we can determine the slope.  The line crosses at (1, -1) so we will use that as the second point.  Then we just plug all of the values into the slope intercept form.

Determine the slope

• $m = \frac{y_2 - y_1}{x_2 - x_1}$

• $m = \frac{-1 - (-3)}{1 - 0}$

• $m = \frac{-1 + 3}{1}$

• $m = \frac{2}{1}$

• $m = 2$

Plug in the values

• $y = mx + b$

• $y = 2x - 3$

Therefore, the option that would best fit the graph that was provided would be option D, y = 2x - 3.