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 through (−10,1)(-10,1) and (0,−4)(0,-4)? \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer. \newline_____

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 6right chevron icon
Classify numbersright chevron icon

Full solution

Q. What is the slope of the line through (−10,1)(-10,1) and (0,−4)(0,-4)? \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer. \newline_____
  1. Identify Coordinates: Identify the coordinates of the two points.\newlineThe first point is (−10,1)(-10, 1), which means x1=−10x_1 = -10 and y1=1y_1 = 1.\newlineThe second point is (0,−4)(0, -4), which means x2=0x_2 = 0 and y2=−4y_2 = -4.
  2. Recall Slope Formula: Recall the formula for the slope mm of a line through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2). The formula is m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.
  3. Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. \newlinem=−4−10−(−10)m = \frac{-4 - 1}{0 - (-10)}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator.\newlinem=(−4−1)/(0+10)m = (-4 - 1) / (0 + 10)\newlinem=(−5)/10m = (-5) / 10
  5. Simplify Fraction: Simplify the fraction to find the slope. m=−12m = -\frac{1}{2}

More problems from Classify numbers

Question
Subtract.\newline(14)−(34)=(\frac{1}{4}) − (\frac{3}{4}) = _____
Get tutor helpright-arrow

Posted 1 month ago

Question
Multiply. 14×(−12)=\frac{1}{4} \times \left(-\frac{1}{2}\right) = _____
Get tutor helpright-arrow

Posted 2 months ago

Question
(7+7)⋅(7+17)=(7+7)\cdot(7+\frac {1}{7})= ______
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate.\newline25÷16= \frac{2}{5} \div \frac{1}{6}=
Get tutor helpright-arrow

Posted 1 month ago

Question
Evaluate.\newline12+63= \frac{12+6}{3}=
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify 43\frac{4}{3}
Get tutor helpright-arrow

Posted 3 days ago

Question
21.45221.452 divided by 0.620.62
Get tutor helpright-arrow

Posted 1 month ago

Question
Grace examines two different size bottles of the same laundry detergent. The price for the 100100 ounce bottle is $9.99\$9.99 and the price for the 150150-ounce bottle is $12.99\$12.99. How much money will Grace save per 100100 ounces if she purchases the larger bottle?\newlineChoose 11 answer:\newline(A) $0.01\$0.01\newline(B) $1.33\$1.33\newline(C) $2.00\$2.00\newline(D) $8.66\$8.66
Get tutor helpright-arrow

Posted 2 months ago

Question
Genovia is a city-state with approximately 50,00050,000 citizens. In a recent newspaper poll of the citizens of Genovia, 34\frac{3}{4} of the poll respondents were in favor of establishing a democratic government. If the citizens polled are representative of all citizens of Genovia, approximately how many citizens are in favor of establishing a democratic government?\newlineChoose 11 answer:\newline(A) 12,50012,500\newline(B) 30,00030,000\newline(C) 37,50037,500\newline(D) 45,00045,000
Get tutor helpright-arrow

Posted 1 month ago

Question
56x856x8
Get tutor helpright-arrow

Posted 8 hours ago

View all (24)