# How do you name 3 lines that are not parallel to #y= 5x -2#?

##### 1 Answer

see explanation.

#### Explanation:

The equation of a line in

#color(blue)"slope-intercept form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))#

where m represents the slope and b, the y-intercept.

#y=5x-2" is in this form and has a slope of 5"# The following fact should be remembered.

#color(red)(bar(ul(|color(white)(2/2)color(black)("parallel lines have equal slopes")color(white)(2/2)|)))# Thus writing an equation where m ≠ 5 , ensures that it is not parallel to the given equation. The value of b does not effect the slope.

The following are examples of 3 lines that are not parallel to the given line.

#m=1toy=x#

#m=3toy=3x-1#

#m=-2toy=-2x+4# The following sketch shows the graphs of.

#y=5x-2" and " y=3x-1#

graph{(y-5x+2)(y-3x+1)=0 [-20, 20, -10, 10]}