Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the slope of the line that passes through the points (-6,8) and (-9,7) ? Write your answer in simplest form.

What is the slope of the line that passes through the points (−6,8) (-6,8) and (−9,7) (-9,7) ? Write your answer in simplest form.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Solve percent equations: word problemsright chevron icon

Full solution

Q. What is the slope of the line that passes through the points (−6,8) (-6,8) and (−9,7) (-9,7) ? Write your answer in simplest form.
  1. Identify Slope Formula: To find the slope of the line that passes through two points, we use the slope formula: slope mm = y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}, where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of the two points.
  2. Plug in Coordinates: Let's plug in the coordinates of the two points into the slope formula. For the points (−6,8)(-6,8) and (−9,7)(-9,7), we have x1=−6x_1 = -6, y1=8y_1 = 8, x2=−9x_2 = -9, and y2=7y_2 = 7. So, the slope m=(7−8)/(−9−(−6))m = (7 - 8) / (-9 - (-6)).
  3. Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator. The slope m=−1−9+6m = \frac{-1}{-9 + 6}.
  4. Simplify Denominator: Simplify the denominator to get the slope m=−1−3m = \frac{-1}{-3}.
  5. Divide Numerator: Divide −1-1 by −3-3 to get the slope m=13m = \frac{1}{3}.
  6. Final Slope Calculation: The slope of the line that passes through the points (−6,8)(-6,8) and (−9,7)(-9,7) is 13\frac{1}{3}.

More problems from Solve percent equations: word problems

Question
Johnny bought an oil painting originally priced at $80 but on sale for 5050% off. After 1010% sales tax, what was the total cost?\newline`$`____
Get tutor helpright-arrow

Posted 4 months ago

Question
It costs `$40` to buy 44 ironing boards. If the ironing boards all have the same price, how much does it cost to buy 11 ironing board? ` $`_____
Get tutor helpright-arrow

Posted 7 months ago

Question
Whitney buys a lamp online for $93\$93. If shipping and handling are an additional 10%10\% of the price, how much shipping and handling will Whitney pay? \newline $\$ _____\_\_\_\_\_
Get tutor helpright-arrow

Posted 8 months ago

Question
A 99-foot roll of plastic wrap costs $5.40\$5.40. What is the price per inch? \newline $\$ _____
Get tutor helpright-arrow

Posted 7 months ago

Question
A store purchased canoes for $300\$300 and sold them for $435\$435. What percentage is the mark-up? \newlineWrite your answer using a percent sign (%\%). \newline _____
Get tutor helpright-arrow

Posted 7 months ago

Question
A ceramic vase was originally priced at $100\$100 but went on sale for 50%50\% off. If Ernesto bought the ceramic vase and paid 12%12\% sales tax, how much did he pay in total? \newline $\$ ____
Get tutor helpright-arrow

Posted 7 months ago

Question
A 1212-foot roll of aluminum foil costs $7.20\$7.20. What is the price per inch?
Get tutor helpright-arrow

Posted 9 months ago

Question
A 1515-foot roll of paper towel costs $9.75\$9.75. What is the price per inch?
Get tutor helpright-arrow

Posted 7 months ago

Question
A 2020-foot roll of ribbon costs $8.00\$8.00. What is the price per inch?
Get tutor helpright-arrow

Posted 9 months ago

Question
A 66-foot roll of fabric costs $4.50\$4.50. What is the price per inch? \newline $\$ ______
Get tutor helpright-arrow

Posted 7 months ago

View all (28)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant