To find the equation of the line that passes through the given points, we can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Let's choose two points from the table: (-6, 0) and (0, -24).
First, let's find the slope:
m = (change in y) / (change in x)
m = (-24 - 0) / (0 - (-6))
m = -24 / 6
m = -4
Using the point-slope form and one of the points, say (-6, 0), we have:
y - 0 = -4(x - (-6))
y = -4(x + 6)
y = -4x - 24
Therefore, the equation of the line that passes through the given points is y = -4x - 24.
Write an equation of the line that passes through the points in the table.
x -6 -4 -2 0 2
y 0 -8 -16 -24 -32
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