Question

SOMEBODY HELP ME PLS!

Answer 1

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,

`\begin{array} 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}`

To find the equation of the line, find the slope:

`\sf slope\:(m)=(change\:in\:y)/(change\:in\:x)=(2-(-1))/(0-1)=-3`

Then use one of the points and the found slope with the point-slope form of a linear equation:
`y-y_1=m(x-x_1)`

`\implies y-2=-3(x-0)`

`\implies y=-3x+2`

So the equation of this line is:
`y=-3x+2`