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Which statements accurately describe how to determine the y-intercept and the slope from the graph belowTo find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction. To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.?

Sagot :

Using linear function concepts, it is found that the statement that accurately describes the procedure to find the slope and the y-intercept is given by:

To find the slope, use two ordered pairs on the line and substitute into the equation [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]. To find the y-intercept, begin at the origin and move vertically to the graphed line.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope is given by change in y divided by change in x, hence:

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

The y-intercept is the value of y(vertical axis) when x = 0, hence we begin at the origin and move vertically to the graphed line.

More can be learned about linear function concepts at https://brainly.com/question/24808124

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