Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

What is the slope of the line that passes through the points (6,5) and (13,12)? Write your answer in the simplest form.

Sagot :

s1m1

Answer:

y = x-1

Step-by-step explanation:

The general equation of a line is y= mx+ b , where m is the slope of the line , and b is the y-intercept ( where the line intersects  the y-axis)

For the points (x1 = 6, y1 = 5) and ( x2 = 13, y2 = 12) that are on the line give the

slope m = (y2-y1) / (x2-x1) =  (12-5) / (13-6)  = 7/ 7  = 1

Now the equation  of the line became y = x+b , because the slope m= 1

To find b we have to substitute x and y of any of the 2 given points in our equation.

The point ( x= 6, y = 5) gives the equation 5 = 6 +b ; 5-6 = b; -1 = b

Now the equation  of the line became y = x -1 , because the y- intercept, b=-1

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.