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

2 Answers
smendyka
Jun 29, 2018

See a solution process below:

Explanation:

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)#

Jim G.
Jun 29, 2018

#"slope "=1/2#

Explanation:

#• " 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#

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