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inessss [21]
1 year ago
5

What is the slope of the line that passes through the points (3, 2) and (19, 6)? Write

Mathematics
2 answers:
Kruka [31]1 year ago
6 0

Answer:

The slope of the line passing through (3, 2) and (19, 6) is 1/4.

Step-by-step explanation:

To solve this problem, we should first recall the formula for calculating the slope of a line:

slope = Δy/Δx = (y2 - y1)/(x2 - x1)

Next, we can plug in the given values into our equation:

slope = (6-2)/(19-3)

Our next step is to simplify the expression we have by performing the subtraction inside the parentheses.

slope = 4/16

The question asks for our slope in simplest form, so we must simplify the fraction. 4 and 16 are both divisible by 4, so we should divide both the numerator and denominator by 4.

slope = 1/4

Therefore, the correct answer is that the slope of the line is 1/4.

Check out these questions for more information about finding slope and simplifying fractions:

brainly.com/question/6317822

brainly.com/question/28242672

Alik [6]1 year ago
3 0

\huge\text{Hey there!}


\huge\textsf{What is the formula for slope of a line?}

\mathsf{m = \dfrac{rise}{run}\ also\ known\ as\ \dfrac{y_2 - y_1}{x_2 - x_1} = slope}


\huge\textsf{How will we break down the equation?}

\mathsf{y_2 \rightarrow 6}\\\\\mathsf{y_1\rightarrow 2}\\\\\mathsf{x_2 \rightarrow 19}\\\\\mathsf{x_1\rightarrow 3}


\huge\textsf{What should your equation look like?}

\mathsf{\dfrac{6 - 2}{19 - 3} = m}


\huge\textsf{How do we solve for it?}

\mathsf{\dfrac{6 - 2}{19 - 3} = m}

\mathsf{\dfrac{4}{16} = m}

\mathsf{\dfrac{4\div2}{16\div2} = m}

\mathsf{\dfrac{2}{8} = m}

\mathsf{\dfrac{2\div2}{8\div2} = m}

\mathsf{\dfrac{1}{4} = m}


\huge\textsf{What is the answer to this question/equation?}
\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{1}{4}}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}


<h3>~\frak{Amphitrite1040:)}</h3>
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Hi there!


Looks like a lot of work is going on here.


Let's start by solving this equation for the x.


5x + 20y = 4


Step 1) Add -20y to both sides.


5x + 20y + - 20y = 4 - 20y 5x = -20y + 4


Step 2) Divide both sides by 5.


\frac{5x}{5}  = \frac{-20y + 4}{5}


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Final Answer:


x = -4y +  \frac{4}{5}


Now, let's solve for y.


Step 1) Add -5x to both sides.


5x + 20y + - 5x = 4 + - 5x 20y = -5x + 4


Step 2) Divide both sides by 20.


\frac{20y}{20} =  \frac{-5x + 4}{20}


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Final Answer:


y =  \frac{-1}{4} x +  \frac{1}{5}


Hope this helps! :D


Hint - When you have two variables in an equation, and you want to solve for one, the other will end up in your answer. :)

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