Write the equation of the linear function that passes through the points (−5 1) and (−3 3).

Answer 1

First, we need to find the slope of the line passing through the two points.

Slope = (y2 - y1) / (x2 - x1)
Slope = (3 - 1) / (-3 - (-5))
Slope = 2 / 2
Slope = 1

Now that we have the slope, we can use the point-slope form of the equation of a line to write the equation of the function:

y - y1 = m(x - x1)

Using the point (−5,1):

y - 1 = 1(x - (-5))
y - 1 = x + 5

Now, simplify the equation:

y = x + 6

Therefore, the equation of the linear function passing through the points (−5,1) and (−3,3) is y = x + 6.