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Find the equation of the line that passes through the points (-1,8)
and (2, -1). Write your equation in slope-intercept form. Show all
work to support your answer.

Sagot :

27spidersmart

Answer:  

y = -3 * x + 5

 

Step-by-step explanation:  

We start with the equation for slope-intercept y = mx + b -  

Y is any y point on the line. X is any x point on the line. M is the slope of the line. B is the y-intercept of the line.  

We first find the slope by using this equation (y2 - y1) / (x2 - x1) -  

(8 - (-1)) / ((-1) - 2)  

9 / (-3)  

Slope = -3  

Now we insert the slope into the equation -  

y = -3 * x + b  

As said before, Y is any y point on the line and X is any x point on the line, so we can choose a random point and insert it in to find the y-intercept -    

-1 = -3 * 2 + b  

-1 = -6 + b  

b = 5

The y-intercept of the line is (0, 5)  

We insert the y-intercept in the equation -  

y = -3 * x + 5  

y = -3 * x + 5 is our answer to the problem.

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