To find the slope and the y-intercept of this equation, we need to first convert it to slope-intercept form. (y = mx + b)
To convert it, we need to first isolate the y term by subtracting 6x from both sides of the equation.
6x - 6x - 3y = -9 - 6x
-3y = -9 - 6x
Now that the y term is on one side of the equation, we can continue.
Divide <em>everything </em>on the left side of the equation by the coefficient on the right side of the equation. In this case, the number is 3.
y = -3 - 2x
Flip some of those numbers around to get this:
y = 2x - -3
Get rid of the double negative. (Change 2x - -3 into 2x + 3)
y = 2x + 3
Now that we've converted the equation, we can identify the slope (the number beside x) and y-intercept (the number that stands alone)
Slope: 2
Y-intercept: 3
Answer:
5^8
Step-by-step explanation:
You multiply the exponents!!
Answer:
60
Step-by-step explanation:
Answer:
y = -1/4x + 7
Step-by-step explanation:
Plug in the point and slope into y = mx + b, and solve for b:
y = mx + b
8 = -1/4(-4) + b
8 = 1 + b
7 = b
Plug in the slope and b into y = mx + b:
y = mx + b
y = -1/4x + 7
So, the equation of the line is y = -1/4x + 7
Answer:
-5 - 3x > 10
Step-by-step explanation:
x = -6
Plug in the x value for each inequality:
-5 - 3(-6) > 10
-5 + 18 > 10
13 > 10
True
-3 - 5(-6) < -14
-3 + 30 < -14
27 < -14
False
1 - 2(-6) > 13
1 + 12 > 13
13 > 13
False
2 - (-6) < -3
2 + 6 < -3
8 < -3
False
Only one of these is true; that is the answer.
