I need to find an equation that is Parallel to y=5/3x-2/3 and passes through the origin

Answer 1

If it passes through the origin that means that the y-intercept (b) is 0. And if it's parallel to the given line that means that the slope (m) is the same, so m = 5/3

putting it all together then you end up with

y = 5/3x + 0

y = 5/3x for the equation of the line

Answer 2

When two lines are parallel, their slopes are equal.

the given line y = 5/3x - 2/3: what is its slope?

It is in the slope-intercept form: y = mx + b where m represents the slope.

m = 5/3

So 5/3 will be the slope for the equation.

The origin has coordinates of (0,0). The y-intercept will be zero for the equation.

The equation will be y= 5/3x.