Write an equation in point-slope form for the line that is parallel to y = 3/4x - 3 and passes through point (4,3).

The point-slope form of the equation of the parallel line is y - 3 =   (x - 4)

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope-intercept form of the linear equation is y = m x + b, where

The point-slope form is of the linear equation is y - y1 = m(x - x1), where

∵ The equation of the given line is y = x - 3

→ Compare it with the first form of the equation above

∴ m =  

∴ The slope of it is  

∵ Parallel lines have the same slopes

∴ The slope of the parallel line is  

∵ The point-slope form is y - y1 = m(x - x1)

→ Substitute the value of the slope in the form of the equation above

∴ y - y1 =   (x - x1)

∵ The line passes through the point (4, 3)

∴ x1 = 4 and y1 = 3

→ Substitute them in the equation above

∴ y - 3 =   (x - 4)

∴ The point-slope form of the equation of the parallel line is

    y - 3 =   (x - 4)