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).
Add seven to both sides of the equal sign. Now you have 3x= -18
Then divide by three on each side. Now you have x= -6
Then plug it in.
-6^2-6(-6)+9
The answer to that is 9
Compare the slopes of each line<span>. Remember, when two </span>lines are parallel<span> to each other, they will have the exact same slope. Using the equation y = mx + b where m is the slope of the </span>line<span>, you can </span>identify<span> and compare the slopes of two </span>lines<span>.</span>
Answer:
1/5^7 (the last one)
Step-by-step explanation:
When dividing exponents you subtract the the two exponents. In this case you subtract 3 from -4. -4-3=-7. So you have 5^-7. That is also equal to 1/5^7