Eysasurbanoidn
Answered

Magtanong at makakuha ng eksaktong mga sagot sa IDNStudy.com. Tuklasin ang mga maaasahang impormasyon sa anumang paksa sa pamamagitan ng aming network ng bihasang mga propesyonal.

V.
Give the slope of a line given two points.
17. (-2,4) and (1,6)
18. (-3,-1) and (5,-5)​

Sagot :

KAntoineDoixidn

✏️SLOPES

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••} [/tex]

[tex] \underline{\mathbb{DIRECTIONS}:} [/tex]

Give the slope of a line given two points.

  • 17. (-2, 4) and (1, 6)
  • 18. (-3, -1) and (5, -5)

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••} [/tex]

[tex] \underline{\mathbb{ANSWER}:} [/tex]

[tex] \qquad\large 17) \LARGE\tt\: \green{\frac{\,4\,}{3}} [/tex]

[tex] \qquad\large 18) \LARGE \tt\: \green{\text-\frac{\,1\,}{2}} [/tex]

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••} [/tex]

[tex] \underline{\mathbb{SOLUTION}:} [/tex] Use the slope formula to find the slope of the given two points.

[tex] \begin{align} & \bold{Formula:} \\ & \boxed{Slope(m) = \frac{y_2-y_1}{x_2-x_1}} \end{align} [/tex]

#17:

  • [tex] m = \frac{6-2}{1-(\text-2)} \\ [/tex]

  • [tex] m = \frac{6-2}{1+2} \\ [/tex]

  • [tex] m = \frac{\,4\,}{3} \\ [/tex]

[tex] \therefore [/tex] The slope of the given two points is 4/3.

#18:

  • [tex] m = \frac{\text-5-(\text-1)}{5-(\text-3)} \\ [/tex]

  • [tex] m = \frac{\text-5 + 1}{5 + 3} \\ [/tex]

  • [tex] m = \frac{\,\text-4\,}{8} \\ [/tex]

  • [tex] m = \text{ -- }\frac{\,1\,}{2} \\ [/tex]

[tex] \therefore [/tex] The slope of the given two points is -1/2.

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••} [/tex]

(ノ^_^)ノ

MrIvanidn

[tex] \red{•••••••••••••••••••••••••••••••••••••••••••••}[/tex]

QUSTION:

Give the slope of a line given two points.

(#17.)

FORMULA:

∵The slope of a line passing through the two points.

  • [tex]P = (^{x}2 ,^{y} 2) \\ [/tex]
  • [tex]Q = ( ^{x} 2.^{y} 2) \\ [/tex]
  • [tex]M = \frac{^{y} 2 - ^{y} 1}{^{x}2 - ^{x} 1 } \\ [/tex]

∵Plug the given values into the formula for slope.

  • [tex]m = \frac{(6) - (4)}{(1) - (2)} = \frac{2}{ - 1} = - 2 \\ [/tex]

∵Now, the y-intercept is

  • [tex] \boxed{ b = ^{y}1 - m \: \times ^{x}1 }[/tex]

  • [tex] \boxed{b = ^{y} 2 - m \: \times ^{x} 2}[/tex]

∵The result is the same.

  • [tex] \boxed{b = 4 - ( - 2) \times (2) = 8 .}[/tex]

∵Finally, the equation of the line can be written in the form.

  • y=mx+b

  • [tex]y=−2x+8.[/tex]

»The slope of the line is

  • [tex] \boxed{ \frac{4}{3} }[/tex]

(#18.)

  • [tex] \boxed{(-3,-1) and (5,-5)}[/tex]

  • [tex]m = \frac{( - 5) - ( - 1)}{(5) - ( - 3)} = \frac{ - 4}{8} = - \frac{ 1}{2} \\ [/tex]

  • [tex]b = - 1 - ( - \frac{1 }{2} ) \times ( - 3) = - \frac{5}{2} \\ [/tex]

  • [tex]y = - \frac{1}{2} x - \frac{5}{2} . \\ [/tex]

Result:

  • [tex] \boxed{m = - \frac{1}{2} } \\ [/tex]

[tex] \red{••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

#CarryOnLearning

(ノ^_^)ノ

Salamat sa iyong presensya. Patuloy na magbahagi ng impormasyon at karanasan. Ang iyong kaalaman ay mahalaga sa ating komunidad. Bumalik ka sa IDNStudy.com para sa maasahang mga sagot sa iyong mga katanungan. Salamat sa iyong tiwala.