nacho58
Answered

What is the slope of the line that passes through the points (3, 2) and (19, 6)? Write
your answer in simplest form.



Answer :

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.

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Amphitrite1040

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textsf{What is the formula for slope of a line?}[/tex]

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


[tex]\huge\textsf{How will we break down the equation?}[/tex]

[tex]\mathsf{y_2 \rightarrow 6}\\\\\mathsf{y_1\rightarrow 2}\\\\\mathsf{x_2 \rightarrow 19}\\\\\mathsf{x_1\rightarrow 3}[/tex]


[tex]\huge\textsf{What should your equation look like?}[/tex]

[tex]\mathsf{\dfrac{6 - 2}{19 - 3} = m}[/tex]


[tex]\huge\textsf{How do we solve for it?}[/tex]

[tex]\mathsf{\dfrac{6 - 2}{19 - 3} = m}[/tex]

[tex]\mathsf{\dfrac{4}{16} = m}[/tex]

[tex]\mathsf{\dfrac{4\div2}{16\div2} = m}[/tex]

[tex]\mathsf{\dfrac{2}{8} = m}[/tex]

[tex]\mathsf{\dfrac{2\div2}{8\div2} = m}[/tex]

[tex]\mathsf{\dfrac{1}{4} = m}[/tex]


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

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

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