Question

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

Answer 1

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)`

Answer 2

`"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`