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)

$9.41

step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.