bstough224
Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Write the equation in slope-intercept form for the line that passes through (5, 4) and (6,-1).
SHOW YOUR WORK​

Sagot :

elcharly64

Answer:

y = -5x + 29

Step-by-step explanation:

Slope-Intercept Form of the Line

Given a line of slope m and y-intercept b, the equation of the line can be written as:

y = mx + b

The slope can be calculated by using the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x1,y1) and (x2,y2) are the points through which the line passes.

We are given the points (5,4) and (6,-1), thus:

[tex]\displaystyle m=\frac{-1-4}{6-5}=\frac{-5}{1}=-5[/tex]

Now we use one of the points to find the value of b, for example (5,4):

4 = -5(5) + b

b = 25+4 = 29

Thus, the equation of the line is:

y = -5x + 29

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.