Question
Using the graph, derive the equation of the line in slope-intercept form.
(1 point)
(1 point)
Answers
GPT 3.5
To find the equation of the line in slope-intercept form, we need to first determine the slope of the line and the y-intercept.
From the graph, we can see that the line intersects the y-axis at the point (0, -2) which means the y-intercept is -2.
Next, we can select two points on the line, for example (3, 0) and (1, -4), and use them to calculate the slope:
slope (m) = (change in y)/(change in x)
= (0 - (-4))/(3 - 1)
= 4/2
= 2
Now that we have the slope and y-intercept, we can write the equation of the line in slope-intercept form:
y = mx + b
y = 2x - 2
From the graph, we can see that the line intersects the y-axis at the point (0, -2) which means the y-intercept is -2.
Next, we can select two points on the line, for example (3, 0) and (1, -4), and use them to calculate the slope:
slope (m) = (change in y)/(change in x)
= (0 - (-4))/(3 - 1)
= 4/2
= 2
Now that we have the slope and y-intercept, we can write the equation of the line in slope-intercept form:
y = mx + b
y = 2x - 2