Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

TIME REMAIN 56:07 What method can be used to write the equation of a line in slope-intercept form given two points? Find the slono uning​

Sagot :

mimee2020

Step-by-step explanation:

1. Pick two points on the line and use them to find the slope.

2. Then, find the coordinates of the y-intercept.

3. The y- coordinate is the value of b in the equation.

Answer:

Step-by-step explanation:

First find the slope of the line.

If the 2 points are (x1, y1) and (x2, y2) then the slope is (y2-y1)/(x2-x1).

Then we can use the point-slope form of the equation of the line:

y - y1 = m(x - x1)  where m = the slope and by substituting the point (x1, y1) we can  convert the equation to slope intercept form ( which is y = mx + b).

Example:

Find slope-intercept equation for the line joining  the points (1, 0) and (3, 4):

The slope = (4 - 0)/(3 - 1) = 4/2 = 2.

Now we plug in the slope m and the point (3, 4) into  y - y1 = m(x - x1):

y - 4 = 2(x - 3)       (Note we can use (1, 0) OR (3, 4) as they are both on line).

y - 4 = 2x - 6

y = 2x - 6 + 4

y = 2x - 2 which is slope-intercept form.

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.