dodsons794
Answered

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What is the equation of the line graphed below? Answer choices shown in image as well as the graph

What Is The Equation Of The Line Graphed Below Answer Choices Shown In Image As Well As The Graph class=

Sagot :

mhanifa

Answer:

  • C. y = mx

Step-by-step explanation:

The given line passes through the origin, hence it has zero y-intercept.

Looking at the answer choices, Option A- is not a line, Options B and D have non-zero y-intercepts, so the correct option is C.

semsee45

Answer:

[tex]\textsf{C.} \quad y=mx[/tex]

Step-by-step explanation:

From inspection of the diagram, the graph is a linear.

Slope-intercept form of a linear equation:

[tex]y=mx+b[/tex]

where:

  • m is the slope
  • b is the y-intercept

To find the slope of the line, define two points on the line:

  • (x₁, y₁) = (x, y)
  • (x₂, y₂) = (x + 1, y + m)

Substitute the defined points in the slope formula to find the slope (m):

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{(y+m)-y}{(x+1)-x}=\dfrac{m}{1}=m[/tex]

The y-intercept is the point at which the line intercepts the y-axis.

As the line passes through the origin (0, 0), the y-intercept is zero.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the given graph:

[tex]\implies y=mx[/tex]

Learn more about linear equations here:

https://brainly.com/question/27317293

https://brainly.com/question/27926846

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