\begin{tabular}{|c|c|}\hlinex & y \\\hline−2 & 7 \\\hline−1 & 3 \\\hline 1 & −5 \\\hline\end{tabular}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
Q. \begin{tabular}{|c|c|}\hlinex & y \\\hline−2 & 7 \\\hline−1 & 3 \\\hline 1 & −5 \\\hline\end{tabular}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
Calculate slope: Calculate the slope m using two points from the table, (−2,7) and (−1,3).Slope formula: m=x2−x1y2−y1m = −1−(−2)3−7m = 1−4m = −4
Find y-intercept: Use the slope-intercept form y=mx+b to find the y-intercept b. Using point (−1,3) and m=−4.3=(−4)(−1)+b3=4+bb=3−4b=−1
Write equation: Write the equation of the line using the slope and y-intercept.y=−4x−1
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