Graph the equation 9−x=3/2y using slope-intercept form.
A. (2, 1) (0, 0)
B. (0, 6) (3, 4)
C. (0, -3) (7, -1)
D. (0, 3) (4, 2)
To graph the equation 9 - x = 3/2y in slope-intercept form, we first need to rearrange the equation to solve for y:
9 - x = 3/2y
3/2y = 9 - x
y = (9 - x) * 2/3
y = 6 - 2/3x
Now, we can use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Comparing our equation to y = mx + b, we can see that the slope (m) is -2/3 and the y-intercept (b) is 6.
Now, let's plot the points given in each answer choice and see which one matches our equation:
A. (2, 1), (0, 0)
Using the points given in choice A, we can see that the equation does not match the equation y = 6 - 2/3x. Therefore, option A is not correct.
B. (0, 6), (3, 4)
Using the points given in choice B, we find that they do not lie on the line y = 6 - 2/3x. So, option B is not correct.
C. (0, -3), (7, -1)
Using the points given in choice C, we find that they do not lie on the line y = 6 - 2/3x. So, option C is not correct.
D. (0, 3), (4, 2)
Using the points given in choice D, we find that they do not lie on the line y = 6 - 2/3x. So, option D is not correct.
Therefore, none of the provided answer choices match the graph of the equation 9 - x = 3/2y in slope-intercept form.