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

Question

asked Apr 23, 2021 185k views

1 Answer

Anna T · Answer 1 · 2021-04-27T02:29:53+0000

Answer:

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

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

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.