Need help on this one thanks

Mathematics

1 answer:

STALIN [3.7K]2 years ago

5 0

Answer:

Y = 10/7X + 4

Y intercept = 4

Slope = 10/7

X intercept = -40/7

Step-by-step explanation:

Incase you are asked the equation of the line

The slope intercept equation is as follows -

(1)....Y = mx + b

where m - Slope

b - Y - intercept

the standard formula of slope which is commonly referred to as "the rate of change" is -

(2) .....m= Y2 - Y1 / X2 - X1

in this case you can refer to the final and initial X and Y values directly from the small points on the line.

and so(3)..... - X1 = -6 X2 = 6

- Y2 = 9 Y1 = -1

the y intercept is defined as the value we get whenever X id zero. and X has a value of zero when a line crosses the y axis.

thus, X = 0 & Y = 4 ( 0 , 4 )

now lets substitute our values(3) into the slope formula (equation 2)

m = 9 - - 1 / 6 - - 1 = 10/7

now that we found the line's slope, let's simply plug the y intercept

into the slope intercept formula (1)

Y = 10/7X + 4

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