Question

what is the slope of a line is parallel to y=(1/2)x=3

Answer 1

Hi there! The answer is (1/2)

I suppose you mean the slope of a line that is parallel to y = (1/2)x + 3.

This equation is written in slope-intercept form, which means that the number in front of x represents the slope of the line. The other number represents the y-intercept.

A line that is parallel to another line, will be a line with the same slope. Since the slope of y = (1/2)x + 3 is (1/2), the slope of a line parallel to this line is (1/2) as well.

~ Hope this helps you!

Answer 2

Parallel lines are simply lines that extend in both directions without intersecting, while slope is the rate of change of the y-values over the x-values.

A line parallel to  $y = \frac 12x + 3$ will have a slope of $\frac 12$

The equation is given as:

$y = \frac 12x + 3$

The general equation of a straight line is:

$y = mx + c$

Where:

$m \to$ slope

By comparing both equations,

$m = \frac 12$

i.e. the slope of the equation is $\frac 12$

Because parallel lines have the same slope, a line parallel to  $y = \frac 12x + 3$ will have a slope of $\frac 12$

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