Answer:
To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line. Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.
To find the value of x from a given value of y, find the position of y on the y-axis, then trace horizontally until you meet the line. Once you meet the line, trace vertically to the x-axis to find the corresponding value of x.
From inspection of the graph,
when x = 1, y = -1
when x = 0, y = 2
when x = 2, y = -4
Therefore,
[tex]\begin{array}{| c | c |}\cline{1-2} x & y\\\cline{1-2} 1 & -1 \\\cline{1-2} 0 & 2 \\\cline{1-2} 2 & -4 \\\cline{1-2}\end{array}[/tex]
To find the equation of the line, find the slope:
[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-1)}{0-1}=-3[/tex]
Then use one of the points and the found slope with the point-slope form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y-2=-3(x-0)[/tex]
[tex]\implies y=-3x+2[/tex]
So the equation of this line is: [tex]y=-3x+2[/tex]
