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3 years ago

I don’t understand how to solve this graph. (Y=MX+B)

Mathematics

1 answer:

Alla [95]3 years ago

5 0

Answer:

The equation of line shown in the graph is $\mathbf{y=-\frac{1}{2}x -1}$

Step-by-step explanation:

We need to find equation of the line shown in graph.

The equation of line will be in slope-intercept form $y=mx+b$ where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding y-intercept

Looking at the graph, we can find y-intercept when x =0, the value of y is known as y-intercept.

So, when x =0, y=-1

So, y-intercept is -1

Finding Slope

Now, for finding slope, consider 2 points on graph

(0,-1) and (-2,0)

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=0, y_1=-1, x_2=-2, y_2=0$

Putting values and finding slope:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-(-1)}{-2-0} \\Slope=\frac{0+1}{-2-0} \\Slope=\frac{1}{-2} \\Slope=-\frac{1}{2}$

So, slope is $m=-\frac{1}{2}$

Equation of line

Now, equation of line having slope $m=-\frac{1}{2}$ and y-intercept b = -1 is

$y=mx+b\\y=-\frac{1}{2}x -1$

So, equation of line shown in the graph is $\mathbf{y=-\frac{1}{2}x -1}$

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Step-by-step explanation:

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Change the given equation using inverse operations,

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Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,

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