X: 2 4 5 30
Y 1 2 2.5 15
Using the table of values:
(3 points)
1) What is the slope in context?
2) What is the y-intercept in context?
3) What is the equation of the line?
1) The slope in context represents the rate of change between the x-values and the y-values. It tells us how much the y-values increase or decrease for every unit increase in the x-values.
2) The y-intercept in context represents the value of the y-axis where the line intersects it. It is the value of y when x is equal to zero.
3) To find the equation of the line, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept. Given the values from the table, we can calculate the slope and y-intercept:
Slope (m) = (Change in y) / (Change in x) = (2.5 - 1) / (4 - 2) = 1.5 / 2 = 0.75
Using the point-slope formula:
y - y1 = m(x - x1),
we can pick any point from the table, let's use (2, 1):
y - 1 = 0.75(x - 2)
Expanding and rearranging the equation, we get:
y = 0.75x + 0.5
Therefore, the equation of the line is y = 0.75x + 0.5.
answer choices
1 No cups of milk
no syrup
2 No cups of milk
no syrup
3 y=2x+1
y= 1/2x
Based on the given table of values (X: 2 4 5 30, Y: 1 2 2.5 15), the correct answer would be:
3) The equation of the line is y = 2x + 1.
Using the table of values:
(3 points)
1) What is the slope in context?
A. no syrup,no milk
B 1 tbl syrup to 2 cups milk
Since there are only two options given and none of them represent the slope in context, neither option A nor option B is correct.
2) What is the y-intercept in context?
. no syrup,no milk
B 1 tbl syrup to 2 cups milk