Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

What is equation of the line graphed below?

What Is Equation Of The Line Graphed Below class=

Sagot :

kaylenxc
using the parent function y = mx + b,
y = -3x
slope is m- so rise over run -3/1 = -3
where the line crosses the y axis is b- 0 (origin)
VectorFundament120

Explanation

  • Find the slope by using rise over run with two coordinate points.

[tex](0,0) \longrightarrow \sf{part \: \: of \: \: the \: \: graph} \\ (1, - 3)\longrightarrow \sf{given \: \:coordinate \: \: point}[/tex]

[tex]m = \frac{dy}{dx} = \frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute these coordinate values in.

[tex]m = \frac{0 - ( - 3)}{0 - 1} \\ m = \frac{3}{ - 1} \\ m = - 3[/tex]

Hence, the slope is -3.

  • Find the y-intercept.

From the graph, the line passes through the origin point. Therefore, the y-intercept is (0,0).

  • Slope-Intercept form

[tex]y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}[/tex]

Substitute both m and b in the slope-intercept form.

[tex]y = - 3x + 0 \\ y = - 3x[/tex]

Hence the answer is y = -3x.

Answer

[tex] \large \boxed{y = - 3x}[/tex]

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.