1. Find the slope for the following line: y=(3/4)x-7
A. -7
B. 7
C. 3/4
D. -4/3
2. What is the y-intercept of the graph of the line given by the equation 3y+4x=15?
A. 5
B. 4
C. 3
D. -4/3
Can someone please help answer the questions, but also explain them so I know how to do it next time? Thanks!
WAIT I MESSED UP ORDER :
1. ¾ | C |
2. 5 | A |
3. (-8,2) | A |
4. (5,4) | B |
5. (1,2) | C |
Lesson 5: Review of Graphing and Systems of Equations
1. C
2. A
3. A
4. B
5. C
Cheater lol, these are right though.
1. ¾ | C |
2. 5 | A |
3. (-8,2) | B |
4. (5,4) | D |
5. (1,2) | C |
Savannah<3 is right :]
The slope-intercept form is called that because it shows you the slope. If
y = mx + b, then
the slope is m
the y-intercept is b
#2. If you rearrange the equation to read
y = (-4x+15)/3 = -4/3 x + 5
then you can just read off the intercept.
Note that the two lines are perpendicular, since the product of their slopes is -1.
Thank you very much!
1-C
2-C
3-A
4-B
5-D
Savanna is correct
Sure! I'd be happy to help you solve these problems and explain the process along the way.
1. To find the slope of a line given in slope-intercept form (y = mx + b), you can simply look at the coefficient of the x-term. In this case, the equation is y = (3/4)x - 7. The coefficient of the x-term is 3/4. Therefore, the slope of the line is 3/4.
So the correct answer is C. 3/4.
2. To find the y-intercept of a line, you need to set x = 0 in the equation and solve for y. The equation given is 3y + 4x = 15. Let's plug in x = 0:
3y + 4(0) = 15
3y + 0 = 15
3y = 15
y = 15/3
y = 5
So, when x = 0, y = 5. Therefore, the y-intercept of the line is 5.
So the correct answer is A. 5.
I hope this explanation helps you understand how to solve these types of problems! If you have any further questions, feel free to ask.