Write the equation of the linear function that passes through the points (-5,1) and (-3,3).
using y=mx+b
First, we need to find the slope (m) of the line using the given points (-5,1) and (-3,3):
m = (y2 - y1) / (x2 - x1)
m = (3 - 1) / (-3 - (-5))
m = 2 / 2
m = 1
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (-5,1):
y - 1 = 1(x + 5)
y - 1 = x + 5
y = x + 6
Therefore, the equation of the linear function that passes through the points (-5,1) and (-3,3) is y = x + 6.