Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Find the slope-intercept form of the equation of the line that has the given slope m and passes through the given point.
m = 3/8, (−4, −5)

Sagot :

rijarafiquee

Answer:

y = 3/8x - 7/2

Step-by-step explanation:

y = 3/8x + b

-5 = 3/8(-4) + b

-5 = -3/2 + b

-7/2 = b

amysun2025

Answer:

y=3/8x - 7/2

Step-by-step explanation:

Hi there!

We're given that a line has a slope of 3/8 and passes through the point (-4, -5)

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, we can immediately plug that into the equation as m.

So replace m with 3/8.

y=3/8x + b

Now we need to find b

As the point passes through the point (-4, -5), we can use its values to help solve for b.

Substitute -4 as x and -5 as y:

-5 = 3/8(-4) + b

Multiply

-5 = -3/2 + b

Add 3/2 to both sides

-5 = -3/2 + b

+3/2   +3/2
_______________

-7/2 = b

Substitute -7/2 as b into the equation

y=3/8x - 7/2

Hope this helps!


Topic: Finding the equation of the line

See more on this topic here: https://brainly.com/question/27582464

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.