Given the points (3, 6) and (5, 7)
then find equation of line?
We can use the point-slope form of a linear equation to find the equation of a line when we are given two points.
Let's label the coordinates of the first point as (x1, y1) = (3, 6) and the coordinates of the second point as (x2, y2) = (5, 7).
The point-slope form of a linear equation is y - y1 = m(x - x1), where m is the slope of the line.
First, let's calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1).
m = (7 - 6) / (5 - 3)
m = 1 / 2
Now, substitute the values of (x1, y1) and m into the point-slope form equation:
y - 6 = (1/2)(x - 3)
Simplifying, we get:
y - 6 = 1/2x - 3/2
Finally, we can rearrange the equation into slope-intercept form (y = mx + b):
y = 1/2x - 3/2 + 6
y = 1/2x + 9/2
Therefore, the equation of the line passing through the points (3, 6) and (5, 7) is y = 1/2x + 9/2.