Hey i need help on my math hw i just don't get it lol please help me!
Here the questions
Which of the following equations has a graph that is parallel to the graph of
4x-2y=7?
A:-2y = 4x+2
B:7-4x=2y
C:4x+2y=2
D:-4x-2y=-7
E:2y=4x+7
Determine if the two lines 7x+5y=35 and y= -7 over 5x-1 are parallel, perpendicular, or neither.
Which of the following lines is not parallel to y=5x+2?
A:5y-x=1
B:5x-y=1
C:y-5x=4
D:10x-2y=1
PLEASE HELP ME I NEED THIS BY 4
Which of the following equations has a graph that is parallel to the graph of
4x-2y=7?
Rearrange them in the format y = mx + b and see which one has the same value of m (the slope).
y = (-7/5) x -1 has slope -7/5. Compare the slope of the other line.
The slope of y = 5x + 2 is 5. Which of the other equations have that slope? They will be parallel. There is more than one.
your right !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Sure, I can help you with your math homework! Let's start by answering the first question.
To determine which equation has a graph that is parallel to the graph of 4x-2y=7, we need to compare the slope of each equation. Remember that parallel lines have the same slope.
The given equation is in the form of Ax + By = C, where A, B, and C are constants. Let's rearrange this equation to determine its slope.
4x - 2y = 7
We want to isolate y, so let's move 4x to the other side:
-2y = -4x + 7
Now, divide both sides by -2 to get:
y = 2x - 7/2
The slope of the given equation is 2.
Now let's compare this slope with the slopes of the options provided:
A: -2y = 4x + 2
To get it in slope-intercept form, divide every term by -2:
y = -2x - 1
The slope of Option A is -2, which is not the same as the original equation. So, it is not parallel.
B: 7 - 4x = 2y
To get it in slope-intercept form, solve for y:
2y = -4x + 7
Divide every term by 2:
y = -2x + 7/2
The slope of Option B is -2, which is the same as the original equation. So, it is parallel.
C: 4x + 2y = 2
To get it in slope-intercept form, solve for y:
2y = -4x + 2
Divide every term by 2:
y = -2x + 1
The slope of Option C is -2, which is not the same as the original equation. So, it is not parallel.
D: -4x - 2y = -7
To get it in slope-intercept form, solve for y:
-2y = 4x - 7
Divide every term by -2:
y = -2x + 7/2
The slope of Option D is -2, which is the same as the original equation. So, it is parallel.
E: 2y = 4x + 7
To get it in slope-intercept form, divide every term by 2:
y = 2x + 7/2
The slope of Option E is 2, which is the same as the original equation. So, it is parallel.
Therefore, the equations that have graphs parallel to the graph of 4x-2y=7 are B: 7 - 4x = 2y, D: -4x - 2y = -7, and E: 2y = 4x + 7.
Let's move on to the next question.
To determine if the two lines 7x + 5y = 35 and y = -7/(5x - 1) are parallel, perpendicular, or neither, we'll compare their slopes.
The equation 7x + 5y = 35 is already in standard form (Ax + By = C), so we can easily find its slope.
Rearranging the equation, we have:
5y = -7x + 35
Divide every term by 5:
y = (-7/5)x + 7
The slope of the first equation is -7/5.
Now let's analyze the second equation, y = -7/(5x - 1). This equation is in slope-intercept form (y = mx + b), where m represents the slope.
From this form, we can see that the slope of the second equation is also -7/5.
Since the two equations have the same slope, they are parallel.
Now let's move on to the last question.
To determine which line is not parallel to y = 5x + 2, we need to compare their slopes. Remember, parallel lines have the same slope.
The given equation, y = 5x + 2, is already in slope-intercept form (y = mx + b).
Its slope is 5.
Now let's analyze the options:
A: 5y - x = 1
Rearrange it to the slope-intercept form:
5y = x + 1
Divide every term by 5:
y = (1/5)x + 1/5
The slope of Option A is 1/5, which is not the same as the slope of the original equation. So, it is not parallel.
B: 5x - y = 1
Rearrange it to the slope-intercept form:
-y = -5x + 1
Multiply every term by -1:
y = 5x - 1
The slope of Option B is 5, which is the same as the slope of the original equation. So, it is parallel.
C: y - 5x = 4
Rearrange it to the slope-intercept form:
y = 5x + 4
The slope of Option C is 5, which is the same as the slope of the original equation. So, it is parallel.
D: 10x - 2y = 1
Rearrange it to the slope-intercept form:
-2y = -10x + 1
Divide every term by -2:
y = 5x - 1/2
The slope of Option D is 5, which is the same as the slope of the original equation. So, it is parallel.
Therefore, the line that is not parallel to y = 5x + 2 is Option A: 5y - x = 1.
I hope this explanation helps you understand the process of finding parallel and perpendicular lines! If you have any further questions, feel free to ask.