How do you find the slope of a line parallel to the graph of each equation y=1/2x+2.3?

Question

Ethan Adkins · Accepted Answer

#"slope "=1/2# #• " Parallel lines have equal slopes"# #"the equation of a line in "color(blue)"slope-intercept form"# is. #•color(white)(x)y=mx+b# #"where m is the slope and b the y-intercept"# #y=1/2x+2.3" is in this form"# #"with slope "=1/2# #"slope of parallel line "=1/2#

Eli Assouline · Answer

See a solution process below:

This equation is in slope intercept form. The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)# Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value. #y = color(red)(1/2)x + color(blue)(2.3)# Therefore, the slope of the line in the problem is: #color(red)(m = 1/2)# Two parallel line, by definition, will have the same slope Therefore, the slope of any line parallel to the line in the problem is also: #color(red)(m = 1/2)#

Eva Adamson · Answer

undefined To find the slope of a line parallel to the graph of the equation y = (1/2)x + 2.3, you can observe that the slope of the given equation is 1/2.

Lines that are parallel have the same slope.

Therefore, the slope of any line parallel to y = (1/2)x + 2.3 is also 1/2.