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x

y


-2
7


-1
3


1
-5




The table shows several values of 
x and their corresponding values of 
y. If the relationship between 
x and 
y is linear, which the following represents the equation of this line

\begin{tabular}{|c|c|}\newline\hlinex x & y y \\\newline\hline2-2 & 77 \\\newline\hline1-1 & 33 \\\newline\hline 11 & 5-5 \\\newline\hline\newline\end{tabular}\newlineThe table shows several values of x x and their corresponding values of y y . If the relationship between x x and y y is linear, which the following represents the equation of this line

Full solution

Q. \begin{tabular}{|c|c|}\newline\hlinex x & y y \\\newline\hline2-2 & 77 \\\newline\hline1-1 & 33 \\\newline\hline 11 & 5-5 \\\newline\hline\newline\end{tabular}\newlineThe table shows several values of x x and their corresponding values of y y . If the relationship between x x and y y is linear, which the following represents the equation of this line
  1. Calculate slope: Calculate the slope mm using two points from the table, (2,7)(-2, 7) and (1,3)(-1, 3).\newlineSlope formula: m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}\newlinem = 371(2)\frac{3 - 7}{-1 - (-2)}\newlinem = 41\frac{-4}{1}\newlinem = 4-4
  2. Find y-intercept: Use the slope-intercept form y=mx+by = mx + b to find the y-intercept bb. Using point (1,3)(-1, 3) and m=4m = -4.3=(4)(1)+b3 = (-4)(-1) + b3=4+b3 = 4 + bb=34b = 3 - 4b=1b = -1
  3. Write equation: Write the equation of the line using the slope and y-intercept.\newliney=4x1y = -4x - 1

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