Answer:
The slope-intercept form of the equation of this line is:
[tex]y=-x[/tex]
Hence, option 'c' is true.
Step-by-step explanation:
From the line equation, let us take two points
Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)[/tex]
[tex]m=\frac{1-\left(-1\right)}{-1-1}[/tex]
[tex]m=-1[/tex]
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
[tex]y=mx+b[/tex]
[tex]y=(-1)x+0[/tex]
[tex]y=-x[/tex]
Thus, the slope-intercept form of the equation of this line is:
[tex]y=-x[/tex]
Hence, option 'c' is true.
