Mathematics, 14.04.2020 17:29 aydanbelle

Which statements accurately describe how to determine the y-intercept and the slope from the graph below?

On a coordinate plane, a line goes through points (0, negative 6) and (3, 0).
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 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.

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Answer from: adamske0

The accurate statement which explains how to determine the slope (m) and y-intercept (b) of a line on a coordinate plane that goes through two points is:

C. To determine the y-intercept, move from the origin vertically to the graphed line. To find the slope, you will use two ordered pairs on the line and substitute into the equation $\mathbf{ m = \frac{y_2 - y_1}{x_2 - x_1} }$ .

Recall:

The y-intercept is the point at which the graphed line intercepts the y-axis (vertical axis). The y-intercept is the value of y here.

Slope (m) = $\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }$

You can simply find the y-intercept on a coordinate plane like the one given in the image attached below.

To do this, from the point of origin (0), you have to move towards the graphed line, that's vertically upwards, to the point where the line crosses the vertical axis.

The y-intercept in the graph shown in the image = 2.

To find the slope, use two ordered pairs on the line, i.e., (0, 2) and (1, 5). (see attached image.)

Next is to let,

$(0, 2) = (x_1, y_1)\\\\(1, 5) = (x_2, y_2)$

Then, substitute the values into $\mathbf{ m = \frac{y_2 - y_1}{x_2 - x_1} }$

Thus:

$m = \frac{5 - 2}{1 - 0} = \frac{3}{1} \\\\\mathbf{m = 3}$

Therefore, the accurate statement which explains how to determine the slope (m) and y-intercept (b) of a line on a coordinate plane that goes through two points is:

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Answer from: lexhorton2002

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.

Step-by-step explanation:

Which statements accurately describe how to determine the y-intercept and the slope from the graph b

Answer from: Quest

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