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Using the following graph, determine the equation of the graph in slope intercept form.

Using The Following Graph Determine The Equation Of The Graph In Slope Intercept Form class=

Sagot :

The answer is y = 2x + 9

The slope is 2 because you go up 2 and by the right by one. 2 divided by 1 is 2.

The y intercept is 9.

the equation of the graph in slope intercept form.

[tex]y=2x+9[/tex]

Given :

We are given with the graph of a line

Slope intercept form of a line is y=mx+b

where m is the slope and b is the y intercept .

To find out slope m we use slope formula

Lets pick any two points from the graph

[tex](0,9) and (1,11)[/tex]

Apply slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{11-9}{1-0} =2[/tex]

Slope is 2

Y intercept is the point where the graph crosses y axis

Graph crosses y axis at (0,9)

y intercept b=9

Now we frame equation of line using slope and y intercept

[tex]y=mx+b\\y=2x+9[/tex]

Learn more :  brainly.com/question/16934180

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