Which equation represents the graph? (1 point) Responses y=54x+3 y is equal to 5 fourths x plus 3 y=12x−1 y is equal to 1 half x minus 1 y=3x+5 y is equal to 3 x plus 5 y=−45x+3
the graph has no numbers its a line pointing left right up down evenly and there is a line with 2 dots one in the center of the upper middle of the line one is almost in the right corner it is one block under the right line a one block left of the right corner of the end of the graph
5 answers
The equation that represents the graph you described is y=3x+5.
Which equation represents the graph? (1 point) Responses y=5/4x+3 y is equal to 5 fourths x plus 3 y=1/2x−1 y is equal to 1 half x minus 1 y=3x+5 y is equal to 3 x plus 5 y=−4/5x+3
the graph has no numbers its a line pointing left right up down evenly and there is a line with 2 dots one in the center of the upper middle of the line one is almost in the right corner it is one block under the right line a one block left of the right corner of the end of the graph
the graph has no numbers its a line pointing left right up down evenly and there is a line with 2 dots one in the center of the upper middle of the line one is almost in the right corner it is one block under the right line a one block left of the right corner of the end of the graph
The equation that represents the graph you described is y=5/4x+3.
Suppose that the water level of a river is 45 feet after 3 days of no rain and 10 feet after 10 days of no rain. The river was 60 feet before the drought began.(4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. a. What is the rate of change (slope) for this scenario? Response area b. What is the y-intercept for this scenario? Response area c. Write an equation for the scenario in slope-intercept form. Response area d. Write an equation in standard form.
a. What is the rate of change (slope) for this scenario?
To find the rate of change (slope), we can use the formula:
slope = (change in y)/(change in x).
The change in y is 45 - 10 = 35 feet (from 45 feet to 10 feet).
The change in x is 3 - 10 = -7 days (from 3 days to 10 days, but since the water level is decreasing, we consider it as negative change).
Therefore, the rate of change (slope) is:
slope = 35/-7 = -5 feet per day.
b. What is the y-intercept for this scenario?
The y-intercept is the value of y when x is 0.
Given that the river was 60 feet before the drought began, the y-intercept is 60.
c. Write an equation for the scenario in slope-intercept form.
The equation in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.
Substituting the values we found:
y = -5x + 60.
d. Write an equation in standard form.
The standard form of an equation is Ax + By = C, where A, B, and C are constants.
To convert the equation to standard form, we can multiply through by -1:
-1(y) = -1(-5x + 60)
-y = 5x - 60.
Then, we can multiply through by -1 again to make the coefficient of x positive:
y = -5x + 60.
Multiplying through by -1:
-y = 5x - 60.
Finally, we can rearrange the equation to match the standard form:
5x + y = 60.
So the equation in standard form is 5x + y = 60.
To find the rate of change (slope), we can use the formula:
slope = (change in y)/(change in x).
The change in y is 45 - 10 = 35 feet (from 45 feet to 10 feet).
The change in x is 3 - 10 = -7 days (from 3 days to 10 days, but since the water level is decreasing, we consider it as negative change).
Therefore, the rate of change (slope) is:
slope = 35/-7 = -5 feet per day.
b. What is the y-intercept for this scenario?
The y-intercept is the value of y when x is 0.
Given that the river was 60 feet before the drought began, the y-intercept is 60.
c. Write an equation for the scenario in slope-intercept form.
The equation in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.
Substituting the values we found:
y = -5x + 60.
d. Write an equation in standard form.
The standard form of an equation is Ax + By = C, where A, B, and C are constants.
To convert the equation to standard form, we can multiply through by -1:
-1(y) = -1(-5x + 60)
-y = 5x - 60.
Then, we can multiply through by -1 again to make the coefficient of x positive:
y = -5x + 60.
Multiplying through by -1:
-y = 5x - 60.
Finally, we can rearrange the equation to match the standard form:
5x + y = 60.
So the equation in standard form is 5x + y = 60.