Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

when writing the equation of a line in slope-intercept form, how can you determine the value of m in y=mx+b if you know the coordinates of two points on the line?

Sagot :

dconner58

Answer:

y = -2.5 x + 6.5

Step-by-step explanation:

The equation of a line in slope-intercept form is written as

y = mx + b where m is the slope and b is the y-intercept.

a) We can find the slope of the line passing through (-1,30 and (-4, 5) by subtracting the y coordinates and dividing the difference by the difference if the x coordinates:

m = (5 - 3 )  = 2

     -4 - (-1)    -3

Now use this slope and substitute the coordinates of either of the given points to find the y-intercept, b . Let's use (-1,3):

y = mx + b

3 = -2 • -1 + b

3

3= 2 + b

3

7  = b

3

The equation of the line will be y = -2 x +  7

3 3

b) Using y = mx + b, we can substitute -2.5 for the slope and use the point to find the y-intercept:

y = -2.5x + b

1.5 = -2.5 • 2 + b

1.5 = -5 + b

6.5 = b

The equation of the line will be:

y = -2.5 x + 6.5

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.