QuestionHere is a table of values for a linear relationship (straight line).𝑥−4−3−2−1𝑦131197 Use the table to find the equation of the line in the form 𝑦=𝑚𝑥+𝑐.

To find the equation of the line in the form y = mx + c, we need to determine the slope (m) and the y-intercept (c).

Step 1: Find the slope (m) The slope of a line is the change in y divided by the change in x. From the table, we can see that as x increases by 1, y decreases by 2. Therefore, the slope (m) is -2.

Step 2: Find the y-intercept (c) The y-intercept is the value of y when x is 0. From the table, we can see that when x is -1, y is 7. Since the slope is -2, we can calculate the y-intercept by adding 2 to 7 (because we're moving from x = -1 to x = 0, so y increases by the slope). Therefore, the y-intercept (c) is 9.

So, the equation of the line is y = -2x + 9.