Respuesta :

crosez
we can put these two points into slope-intercept form by first finding the slope of the line

the formula for slope is
m=(y₂-y₁)/(x₂-x₁)

now we just plug in the points
m=(61-(-38))/(8-(-3))
m=(61+38)/(8+3)
m=99/11
m=9

now that we have the slope, we can add it into our slope-intercept equation
y=mx+b, where m= slope and b=y-intercept
substituting the x for 9 will give us

y=9x+b

we are missing b, which is the y-intercept. To find this value, we can pick one of our two coordinate pairs and substitute x and y for the numbers 

so, if we pick (8,61), the equation will look like this

61= 9(8) + b

and now we solve for b

61 = 72 + b
-11 = b

now we can place b into our equation with the slope

y=9x-11

hope this helped!

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is y=9x-11.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given two points (-3,-38) and (8,61). Therefore, the slope of the two points can be written as,

Slope, m = (61 + 38)/(8 + 3) = 99/11 = 9

Now, substitute the value of the slope and the coordinate of a point in the general equation of line. Therefore, the equation can be written as,

y = mx + c

61 = 9(8) + c

61 = 72 + c

61 - 72 = c

c = -11

Hence, the equation of the line is y=9x-11.

Learn more about Equation of Line here:

https://brainly.com/question/21511618

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