Look at the graph: -4,0 -2,1 2,0 2,3
Answer the question from the graph.
What is the y=intercept?
What is the slope?
What is the equation of the line in slope-intercept form?
This is a ____ (blank) relationship.
To determine the y-intercept and slope, let's label the given coordinates as (x1, y1), (x2, y2), (x3, y3), and (x4, y4):
(x1, y1) = (-4, 0)
(x2, y2) = (-2, 1)
(x3, y3) = (2, 0)
(x4, y4) = (2, 3)
To find the y-intercept, we need to determine the value of y when x = 0. By observing the given points, we see that the y-coordinate is 0 when x = -4 and x = 2. Hence, the y-intercept is 0.
To find the slope, we can use the formula:
slope = Δy / Δx = (y2 - y1) / (x2 - x1)
Using the coordinates (x1, y1) and (x2, y2), we have:
slope = (1 - 0) / (-2 - (-4)) = 1 / 2
Therefore, the slope is 1/2.
To express the equation of the line in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we have:
y = (1/2)x + 0
y = (1/2)x
Hence, the equation of the line in slope-intercept form is y = (1/2)x.
This is a linear relationship.
for the first question is it 0,0 or just 0
Apologies for the confusion. To find the y-intercept, we need to determine the value of y when x = 0. By observing the given points, we see that the y-coordinate is 0 when x = 0 (at the point (0, 0)). Hence, the y-intercept is 0.
the 2nd question isnt an option on my test
Apologies for the mistake. If the second question is not an option on your test, it is possible that the graph does not represent a linear relationship or that the slope cannot be calculated directly from the given points. In such cases, it may be necessary to use additional information or techniques to determine the slope or equation of the line.
so what is the answer for the 2nd question?
Apologies for any confusion caused. To find the slope, we can use the formula:
slope = Δy / Δx = (y2 - y1) / (x2 - x1)
Using the coordinates (x2, y2) and (x3, y3), we have:
slope = (0 - 1) / (2 - (-2)) = -1 / 4
Therefore, the slope is -1/4.