Answer:
y = -1/2x -3
Step-by-step explanation:
The steps to solve this include finding the slope of the line and finding the point where the line crosses the y axis.
Slope is Rise over Run or difference of the y values over the difference of the x values.
Rise = difference between -6 and -2 = 4
Run = difference between 6 and -2 = 8
So slope is 4/8. The line slants downward from left to right so the slope is also negative. Slope = - 4/8 or simplified to - 1 / 2
To find the y intercept, use the slope-intercept form equation:
y = mx + b where m is your slope and b is the y intercept. Solve for b and use one or both of your points that you were given along with your slope.
-6 = -1/2(6) + b OR -2 = -1/2(-2) + b
-6 = - 3 + b -2 = 1 + b
-3 = b -3 = b
Now you can use your calculated slope and calculated b to form your equation.
y = mx + b
y = - 1/2x -3
Answer:
x = −1/13 and y = 33/13 or 2 7/13
Step-by-step explanation:
x+2y=5
x+2(6x+3)=5
x+12x+6=5
13x+6=5
-6 -6
13x= -1
/13 /13
<u>x= -1/13</u>
y=6x+3
y=6(-1/13)+3
y= 33/13
y= 2 7/13
Slot method
20 options
3 slots
First slot: 20 options
Second slot: 19 options (one used up for 1st slot)
Third slot: 18 (one less than last)
Multiply them
20 times 19 times 18=6840
Answer is 6840 ways
