Write y−2= 3/2(x+2) in slope-intercept form.(1 point)
A: y=3/2x+ 3/2
B: y= 3/2x+5
C: y= 3/2x+6
D: y= 3/2+5x
A: y=3/2x+ 3/2
Graph the equation 9-x=3/2y using slope-intercept form.
A: (0,6), (3,4)
B:(0,3), (4,2)
C: (0,-3), (7, -1)
D: (0,0), (2,1)
Let's first convert the equation 9-x=3/2y to slope-intercept form, y = mx + b:
9 - x = 3/2y
(x-9) = 3/2y
2/3(x-9) = y
y = 2/3x - 6
So, the slope is 2/3 and the y-intercept is -6.
The correct choice from the given options is:
C: (0,-3), (7, -1)
is this the correct graph of 3x-y=10?
graph coordinates: (1,-7), (0,-10)
To graph the equation 3x - y = 10, we need to rearrange it to the slope-intercept form (y = mx + b).
3x - y = 10
y = 3x - 10
Now, we know the slope is 3 and the y-intercept is -10.
Given coordinates (1, -7) and (0, -10):
When x = 1:
y = 3(1) - 10
y = 3 - 10
y = -7
So, the coordinate (1, -7) satisfies the equation.
When x = 0:
y = 3(0) - 10
y = 0 - 10
y = -10
So, the coordinate (0, -10) satisfies the equation.
Therefore, the points (1, -7) and (0, -10) are correct coordinates for the graph of the equation 3x - y = 10.
A; Yes, it is the correct graph because the slope is -3 and the y-intercept is (0,-10)
or
D: Yes, it is the correct graph because the slope is 3 and the y-intercept is (0,-10)
The correct statement is:
A: Yes, it is the correct graph because the slope is -3 and the y-intercept is (0,-10).
Identify the slope and the y-intercept of the equation 4x−3y=12.(1 point)
A: slope is 4/3 and y=intercept is (0,4)
B: slope is -4/3 and y=intercept is (0,4)
C: slope is 4 and y=intercept is (0,12)
D: slope is 4/3 and y=intercept is (0,-4)
To identify the slope and y-intercept of the equation 4x - 3y = 12, we need to rearrange the equation into slope-intercept form (y = mx + b).
4x - 3y = 12
4x - 12 = 3y
(4/3)x - 4 = y
So, this equation has a slope of 4/3 (m = 4/3) and a y-intercept of -4 (b = -4).
The correct choice is:
D: slope is 4/3 and y-intercept is (0,-4)