Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

What is an equation of the line that passes through the points (-4,-5) and
(-8, -2)?

Sagot :

reinhard10158

Step-by-step explanation:

first we need to find the slope of the line.

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.

we see here

x changes by -4 (from -4 to -8).

y changes by +3 (from -5 to -2).

so, the slope is +3/-4 = -3/4

there are two main forms for the equation of a line :

the slope-intercept form

y = ax + b

and the point-slope form

y - y1 = a(x - x1)

where "a" is the slope, and (x1, y1) is a point on the line.

we can pick any point, and I would pick (-4, -5).

so we get as point-slope form

y + 5 = -3/4 × (x + 4)

or for the slope intercept form we simplify the point-slope form

y + 5 = -3/4 x + -3/4 × 4 = -3/4 x - 3

y = -3/4 x - 8

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.