Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.


A line passes through the point (-8, 9) and has a slope of 3/4
Write an equation in slope-intercept form for this line.

Sagot :

amysun2025

Answer:

y=3/4x + 15

Step-by-step explanation:

Hi there!

We are given that a line passes through the point (-8, 9), and has 3/4 as its slope

We want to find the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope of the line, we can immediately substitute it as m in the equation.

So replace 3/4 for m in y=mx+b:

y=3/4x + b

Now we need to solve for b

As the equation passes through the point (-8, 9), we can use its values to help solve for b.

Substitute -8 as x and 9 as y in the equation so far

9 = 3/4(-8) + b

Multiply

9 = -6 + b

Now add 6 to both sides

9 = -6  + b

+6  +6

___________

15 = b

Substitute 15 as b into the equation

y = 3/4x + 15

Hope this helps!


Topic: Finding the equation of the line

See more on this topic here: https://brainly.com/question/27514958

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.