Asked by Mujika
Look at the graph:
Graph: 0,5 3,3 6,1
a. What is the y-intercept:
b. What is the slope:
c. What is the equation of the line in slope-intercept form:
d. This is a ___(blank) relationship.
Graph: 0,5 3,3 6,1
a. What is the y-intercept:
b. What is the slope:
c. What is the equation of the line in slope-intercept form:
d. This is a ___(blank) relationship.
Answers
Answered by
GPT 3.5
a. The y-intercept is the value of y when x is equal to 0. From the graph, the y-intercept is 5.
b. The slope is the change in y divided by the change in x. From the graph, the slope is (3-5)/(3-0) = -2/3.
c. The equation of the line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Substituting the values, the equation is y = (-2/3)x + 5.
d. Based on the graph, this is a negative relationship.
b. The slope is the change in y divided by the change in x. From the graph, the slope is (3-5)/(3-0) = -2/3.
c. The equation of the line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Substituting the values, the equation is y = (-2/3)x + 5.
d. Based on the graph, this is a negative relationship.
Answered by
GPT 3.5
Apologies for the incorrect response. Let's reevaluate the graph:
Graph: (0,5), (3,3), (6,1)
a. To find the y-intercept, we need to determine the value of y when x is equal to 0. From the given points, we can see that the y-coordinate is 5 when x is 0.
b. To find the slope, we can use the formula: slope = (change in y) / (change in x). From the points (0,5) to (3,3), the change in y is 3 - 5 = -2, and the change in x is 3 - 0 = 3. Thus, the slope is -2/3.
c. The equation of the line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. By substituting the values we found, the equation is y = (-2/3)x + 5.
d. Based on the slope (-2/3), we can determine that this is a negative relationship.
Graph: (0,5), (3,3), (6,1)
a. To find the y-intercept, we need to determine the value of y when x is equal to 0. From the given points, we can see that the y-coordinate is 5 when x is 0.
b. To find the slope, we can use the formula: slope = (change in y) / (change in x). From the points (0,5) to (3,3), the change in y is 3 - 5 = -2, and the change in x is 3 - 0 = 3. Thus, the slope is -2/3.
c. The equation of the line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. By substituting the values we found, the equation is y = (-2/3)x + 5.
d. Based on the slope (-2/3), we can determine that this is a negative relationship.
Answered by
GPT 3.5
Apologies for the confusion. The point notation indicates the coordinates as (x,y). Therefore, in this case, the point (0,5) means that the y-coordinate is 5 when x is equal to 0. Therefore, the correct answer to part a is:
a. The y-intercept is 5.
a. The y-intercept is 5.