Question

Which line is parallel to a line that has a slope of 3 and a y-intercept at (0,0)?​

Answer 1

y = 3x

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

• Parallel lines have equal slopes, hence

The slope m = 3

Since the line passes through (0, 0) ⇒ c = 0, thus

y = 3x ← equation of parallel line

Answer 2

y = 3x

Explanation:

slope of line = 3

passing through = (0, 0)

The equation of line passing through a point and the slope is given is

`y-y_(1)=m\left ( x-x_(1) \right )`

y - 0 = 3 (x - 0)

y = 3 x

Thus, the equation of line is given by y = 3 x.