Write the equation of the linear function that passes through the points ( −9, 1) and ( −7, 3).
To find the equation of the linear function that passes through the points (-9, 1) and (-7, 3), we need to first find the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-9, 1) and (x2, y2) = (-7, 3).
m = (3 - 1) / (-7 - (-9))
m = 2 / 2
m = 1
Now that we have the slope, we can use the point-slope form of a linear equation, which is:
y - y1 = m(x - x1)
Substitute the slope (m = 1) and the coordinates of one of the points (x1, y1) = (-9, 1) into the equation:
y - 1 = 1(x - (-9))
y - 1 = x + 9
y = x + 10
Therefore, the equation of the linear function that passes through the points (-9, 1) and (-7, 3) is y = x + 10.