Question

enter equation of the following using line in slope intercept form (4,-2) (-2,4)

Answer 1

first find slope, do u know how to find slope when 2 points are given ?

Answer 2

no

Answer 3

The slope of the line through points (x1,y1) and (x2,y2) is given by :
\(\huge m=\frac{y_1-y_2}{x_1-x_2}\)
now,just put the values and find m.

Answer 4

Alternatively, each point into y = mx + b:

-2 = 4m + b
4 = -2m + b

Then solve for m and b

Answer 5

so how do i solve for m and b

Answer 6

-2 = 4m + b
4 = -2m + b

1. Isolate b in each equation:
-2 - 4m = b
4 + 2m = b

2. Set b = b:
-2 - 4m = 4 + 2m

3. Place like terms on the same side:
-2 - 4 = 4m + 2m

4. Combine like terms:
-6 = 6m

5. Isolate m:
-6/6 = m
-1 = m

6. To solve for b, insert the value of m into one of the equations given in step 1:
4 + 2(-1) = b
4 -2 = b
2 = b

7. Input the values of m and b into the equation y = mx + b:
y = -x + 2

Answer 7

thank you