Finding Slope of Lines Parallel to 9x + 4y = 7

Question

What is the slope of any line parallel to the line 9x + 4y = 7 ?

Answer 1

Lines that are parallel have the same slope or steepness so find the slope of the original line and you will know the slope of the new line. If you write your line in slope intercept form which is y=mx+b, the m is your slope. Rearrange your original equation by solving for y. USE inverse operations when going to the other side of an equal sign. Isolate your y by not moving it. Subtract 9x from both sides of the equation 1st.

9x + 4y=7

-9x -9x subtract 9x from both sides

4y=-9x+7 rewrite equation and now divide everything by 4 to isolate your y

4 4 4

y=-9/4x + 7/4 your m (slope) is -9/4 so your new line's slope is -9/4 as well. ANSWER: -9/4

Answer 2

Hello, thank you for taking the time to post your question!

If the lines are parallel the slope will be the same as the original equation, so you want to find the slope of 9x + 4y = 7.

To do that I would put it into slope-intercept form y = mx + b and then find what the value of “m” is

9x + 4y = 7

4y = -9x + 7

y = -9/4x + 7/4

so the slope of the parallel line would be m = -9/4

Hopefully that gets you moving in the right direction! Feel free to reach out for a lesson if you have any questions beyond that! :)

Answer 3

Turning the equation 9x+4y=7 into the slope-intercept form:

1. subtract 9x on both sides: 4y=-9x+7
2. divide by 4 on both sides: y=-9/4x+7/4.
3. compare with the slope-intercept for y=mx+b, we see that the slope is m=−9/4.

Answer 4

ACT Math Question: What is the slope of any line parallel to the line 9x + 4y = 7 ?

Information require to solve the mathematical equation: 9x + 4y =7

Use the slope intercept form of a linear equation: y = mx +b

1. m is the slope and b is the y intercept

Step 1:

Convert the equation to slope intercept form

Original equation: 9x + 4y =7

Subtract 9x from both sides of the equation

4y = -9x + 7

Divide both sides by 4

y=-9/4 x + 7/4

Step 2:

Identify the slope

The slope m is the coefficient of x in the slope intercept form.

m = - 9/4

Step3:

State the slope of any parallel line.

The slope of any line parallel to 9x + 4y =7

Slope = -9/4.

Final Answer

What is the slope of any line parallel to the line 9x + 4y = 7 ? Slope = -9/4

I hope this information is useful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H.

Answer 5

One of the most fundamental equations in math is the slope intercept form equation. This is an equation that all students should have in their memory bank.

y = mx + b

m = slope of equation

b = y intercept

Now take original equation and put it into slope, intercept form as described above

9x + 4y = 7

4y = -9x + 7

y = (-9/4)x + 7/4

m = -9/4 which is slope

Answer 6