Question

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​

Answer 1

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.

Answer 2

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.