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

Answer 1

To find the equation of the linear function passing through the points (-5, 1) and (-3, 3), we first need to find the slope of the line using the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the values of the two points:

m = (3 - 1) / (-3 - (-5))
m = 2 / 2
m = 1

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

y - y1 = m(x - x1)

Using the point (-5, 1):

y - 1 = 1(x - (-5))
y - 1 = x + 5
y = x + 6

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