Question

15 Points - Please Help!

What method can be used to write the equation of a line in slope-intercept form given two points? (Answers Below)

Answer 1

option: A is correct.

Find the slope using the formula
`m=(y_2-y_1)/(x_2-x_1)` and then substitute one point into the equation,y=mx+b to find the y-intercept.

Explanation:

We know that the slope-intercept form of a line is given by:

`y=mx+b`

where m is the slope of a line and b is the y-intercept of a line.

and the slope 'm' is given using the formula:

`m=(y_2-y_1)/(x_2-x_1)`

where
`(x_1,y_1)\ and\ (x_2,y_2)` are the points through which the line passes.

and on putting the value of m and one point in place of (x,y) we get the y-intercept as well.

Hence, option: A is the correct answer.

Answer 2

The first choice is correct.

Explanation:

The formula for slope is m=(y₂-y₁)/(x₂-x₁). Once we find the slope using that formula, it goes in place of m in y=mx+b.

We do not yet have the y-intercept, but we can use one of the points to find it. We substitute the x-coordinate of one point in for x and the y-coordinate of the same point in for y; then we solve for b. This gives us the y-intercept.