4x − 2y = 8, 2y = 4x − 8 and y = 2x − 4. In this form, we can see that the slope of the line is 2 and the y-intercept is −4 (which means the point (0,−4)). The slope of any line that is perpendicular to this one is the negative reciprocal of the slope of this line or −1/2.
Answer:
4x-2y=8
or, 4x = 8+2y
or x = 8+2y/4-----(eq.1)
2x-3y=12-----(eq.2)
Now,
putting value of eq.1 in eq.2, we get
2x-3y=12
or, (8+2y/4)-3y = 12
or, 8-10y/4=12
or, 8-10y=12×4
or,8-10y=48
or,-10y=48-8
or,y=40/-10
or, y = -4
again,
2x-3y=12
or, 2x-3×-4=12
or, 2x+12=12
or, x=0
In 1st option
4x-2y=8
or,4×0-2×-4=8
or,0+8=8
8=8
2x-3y=12
2×0-3×-4=12
0+12=12
12=12
So 1st option is true
Answer:
y = -5x-4
Step-by-step explanation:
start with slope-intercept form:
-9-11/1+3 = -20/4 = -5
your slope is -5
next, do point-slope form:
y+9 = -5(x-1)
y+9 = -5x+5
-9 -9
y = -5x-4
Answer:
Step-by-step explanation:
Original Equation:
-5(-4y - w + 3)
Multiply -5 by -4y
20y
Multiply -5 by -w
5w
Multiply -5 by 3
-15
Plug these values back into the equation
20y + 5w - 15
Hope this helps :)
Answer:
Ben needs to get a 99% on his second test
Step-by-step explanation:
The average is the sum of both test scores, divided by the total number of test scores (2).
Let x by the grade Ben must receive on his second test.
(89 + x)/2 = 94
Multiply by 2 on both sides
89 + x = 188
Subtract 89 on both sides
x = 99
Check work:
(89 + 99)/2 = 188/2 = 99
