Question

Which of the following is the slope intercept form of the equation of this line

Answer 1

The slope-intercept form of the equation of this line is:

`y=-x`

Hence, option 'c' is true.

Explanation:

From the line equation, let us take two points

• (1, -1)

• (-1, 1)

Finding the slope between two points

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)`

`m=(1-\left(-1\right))/(-1-1)`

`m=-1`

From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0

at x=0, y=0

Thus, (0, 0) is the y-intercept

We know that the slope-intercept form of the line equation is

y=mx+b

where

• m=slope

• b=y-intercept

As we have already determined m=-1 and y-intercept=b=0

so substituting m=-1, b=0 in the slope-intercept form of the line equation

`y=mx+b`

`y=(-1)x+0`

`y=-x`

Thus, the slope-intercept form of the equation of this line is:

`y=-x`

Hence, option 'c' is true.