Question

Write an equation in slope-intercept form of the line given:

Answer 1

Answer: y=-x

Explanation:

Choose 2 coordinates: (-2,2) and (2,-2)

Let us find the slope m:

`\displaystyle\\m=(y_2-y_1)/(x_2-x_1) \\\\x_1=-2\ \ \ \ \ x_2=2\ \ \ \ \ y_1=2\ \ \ \ \ y_2=-2\\\\m=(-2-2)/(2-(-2)) \\\\m=(-4)/(2+2) \\\\m=(-4)/(4) \\\\m=-1\\`

Hence,

y=-x+b

To find the coefficient b, choose any coordinate belonging to the given line, for example (-2,2):

2=-(-2)+b

2=2+b

0=b

Hence, b=0

Thus, y=-x