Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
The equation of the linear function in slope-intercept form is [tex]f(x) = \frac{1}{2}x - 5[/tex]
The equation of a linear function can be written in the slope intercept form as:
f(x) = mx + b,
where,
m represents the slope of the linear function
b represents the point on the y-axis where the line intercepts the y-axis. (at this point, x = 0)
we need to find the value of m and b to be able to write the equation of the linear function.
Find slope (m):
From the image attached, the red line represents the rise (3 units) while the blue line represents the run (6 units).
Slope (m) = rise/run
Substitute:
Slope (m) = 3/6
m = 1/2
Find the y-intercept (b):
From the graph, the line cuts the y-axis at y = -5.
Therefore,
b = -5
Next is to substitute m = 1/2 and b = -5 into f(x) = mx + b. Thus:
[tex]f(x) = \frac{1}{2}x - 5[/tex]
The equation of the linear function is: [tex]f(x) = \frac{1}{2}x - 5[/tex]
Learn more about how to write the equation of a linear function here:
https://brainly.com/question/12184348
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.