Answer:
x-intercept: (6,0)
y-intercept: (0,4)
Step-by-step explanation:
The x-intercepts lay on the x-axis and therefore their y-coordinate is 0.
To find the x-intercept, you set y to 0 and solve for x.
2x+3y=12
Set y=0.
2x+3(0)=12
2x+0 =12
2x =12
Divide both sides by 2:
x =12/2
x =6
The x-intercept is (x,y)=(6,0).
The y-intercepts lay on the y-axis and therefore their x-coordinate is 0.
To find the y-intercept, you set x to 0 solve for y.
2x+3y=12
2(0)+3y=12
0+3y =12
3y =12
Divide both sides by 3:
y =12/3
y =4
The y-intercept is (0,4).
Answer:

Step-by-step explanation:

Use the slope-intercept formula:

m is the slope and b is the y-intercept. Use the slope formula first:

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:


Simplify parentheses (two negatives makes a positive):

Simplify:

The slope is
. Insert into the equation:

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

Solve for b, the y-intercept. Simplify parentheses:


Add
to both sides:

Simplify:

The y-intercept is
. Insert this into the equation:

Finito.
Answer:
C
Step-by-step explanation:
11 times 11 = 121
11 times 12 equals 132
11 times 13 = 143
Answer:
x = 5
x = 0.5
Step-by-step explanation:
2x2 - 11x + 5 = 0
Roots: 5, 0.5
Root Pair: 11/4 ± 9/4
Factored: f(x) = 2(x - 5)(x - 0.5)
Answer:
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Step-by-step explanation:
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