Final answer:
To find the linear equation that goes through the points (-5, 16.4) and (0, -3.6), use the formula y - y1 = m(x - x1), where (x1, y1) is one of the given points and m is the slope of the line.
Step-by-step explanation:
To find the linear equation that goes through the points (-5, 16.4) and (0, -3.6), we can use the formula:
y - y1 = m(x - x1)
Where (x1, y1) is one of the given points and m is the slope of the line.
Step 1: Calculate the slope:
m = (y2 - y1) / (x2 - x1)
Step 2: Substitute the values into the equation:
y - 16.4 = m(x + 5)
Step 3: Simplify the equation:
y - 16.4 = mx + 5m
Finally, you can rearrange the equation to get the standard form:
y = mx + (16.4 - 5m)
So, the linear equation that goes through the points (-5, 16.4) and (0, -3.6) is y = mx + (16.4 - 5m).