What is y intercept of equation represented:
X Y
150 1047
125 872
100 697
75 522
a. -3
b. 0
c. 3
d. 172
I come up with totally different answers than these. Do you use the y2-y1/×2-×1 ?
Use the last two points to find the equation
slope = (697-522)/(100-75) = 175/25 = 7
so we have
y = 7x + b
sub in (75,522)
522 = 7(75) + b
b = -3
so we have y = 7x - 3
From your knowledge of y = mx + b, what do you think?
Thanks, could get 7 , but didn't know what to do after...
To find the y-intercept of an equation, you need to determine the point where the line intersects the y-axis. The y-intercept is represented by the value of y when x is equal to 0.
To find the y-intercept of the given equation, you can use the points provided in the table. Let's take a look:
X Y
150 1047
125 872
100 697
75 522
If we observe the points, we can see that as x decreases by 25 (from 125 to 100 to 75), y decreases by the same amount (from 872 to 697 to 522). This suggests a linear relationship between x and y.
To find the y-intercept, we need to find the value of y when x is equal to 0. However, none of the given points have x = 0. Therefore, we cannot determine the y-intercept directly from the provided data.
It seems that the options you have mentioned (a, b, c, and d) do not provide the correct answer based on the given information.
To find the y-intercept of an equation, you need to look at the points where the line intersects the y-axis, which is when x equals zero. In this case, you are given a table of values with corresponding x and y values.
To determine the equation that represents these points, you can use the slope-intercept form of a linear equation: y = mx + b, where m represents the slope and b represents the y-intercept.
To find the slope (m), you can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are any two points from the table.
Using the first two points, (150, 1047) and (125, 872), you can calculate the slope as:
m = (872 - 1047) / (125 - 150)
= -175 / -25
= 7
Now that you have the slope, you can substitute it into the slope-intercept form of the equation along with one of the points from the table to solve for the y-intercept (b). Let's use the first point (150, 1047):
1047 = 7(150) + b
1047 = 1050 + b
b = 1047 - 1050
b = -3
Therefore, the equation represented by the given points is y = 7x - 3.
Now, to find the y-intercept, you simply look at the constant term in the equation, which is -3. So, the y-intercept is -3.
None of the options provided in your question seem to match this result exactly, so there may be a mistake in the options. However, based on the calculations, the correct answer for the y-intercept of the given equation is -3.