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Given :-

  • A graph is given to us .

To Find :-

  • The equation in slope intercept form .

Answer :-

From the given graph , we can see that the line passes through y axis at (0,5) . So the y intercept is 5 . And the slope of the line is 5/2 = 2.5 . So ,

[tex]\sf\longrightarrow[/tex] y intercept = 5 .

[tex]\sf\longrightarrow[/tex] slope = 5/2 .

Now here we can use the slope intercept form as ,

[tex]\sf\longrightarrow[/tex] y = mx + c

[tex]\sf\longrightarrow[/tex] y = 5/2x + 5

Hence the required answer is y = 5/2x + 5.

Answer:

y= 5/2x+5

Step-by-step explanation:

For an equation in slope intercept form we need the slope and the y-intercept. To find the y-intercept just look at which point touches the y-axis which is (0,5). To find the slope the equation is y2-y1 / x2-x1. We take two points that passes through the line like (-2,0) and (0,5). We plug the numbers in the equation which will be 5-0/ 0-(-2) = 5/2 as our slope.

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