The point slope form of the equation of a line that passes through points (8,4) and (0,2) is y-4=1/4 (x-8) what is the slope intercept form of the equation
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
To find the slope-intercept form of the equation, we first need to find the slope (m).
Given that the equation is in point-slope form, which is y - y1 = m(x - x1), we can use the coordinates of one of the points, (8, 4), and the given slope, 1/4, to find the value of m.
Using the point (8, 4):
y - 4 = (1/4)(x - 8)
Distribute 1/4:
y - 4 = 1/4x - 2
Add 4 to both sides of the equation:
y = 1/4x + 2
So, the slope intercept form of the equation is y = 1/4x + 2.