Question

How do you find the slope of a line parallel to graph of this equation y=4x+2?

Answer 1

slope = 4

Explanation:

We have to know that `color(blue)"parallel lines have equal slopes"`

The equation of a line in `color(blue)"slope-intercept form"` is

`color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))`
where m represents the slope and b, the y-intercept.

The advantage to having the equation in this form is that m and b, may be extracted 'easily'.

The equation here y = 4x +2 is in this form.

and by comparison with the slope-intercept form.

slope = 4 and so slope of parallel line is also 4.