Write the equation of the linear function that passes through the points (−5, 1) and (−3, 3). what is the linear equation?
To find the equation of the linear function passing through the points (-5, 1) and (-3, 3), we will first calculate the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-5, 1) and (x2, y2) = (-3, 3).
Let's substitute the values into the formula:
m = (3 - 1) / (-3 - (-5))
m = 2 / 2
m = 1
Now that we have the slope, we can use one of the points (let's use (-5, 1)) and the slope to find the y-intercept (b) of the linear equation. We can use the formula:
y = mx + b
Substitute the values in:
1 = 1(-5) + b
1 = -5 + b
b = 6
Now we have the values of the slope (m = 1) and the y-intercept (b = 6), so the equation of the linear function passing through the points (-5, 1) and (-3, 3) is:
y = x + 6