Write an equation of the line - Show Work Please

Question

Parallel to y = 2x - 5

y-intercept: 1/3

 

Equation needs to be in slope-interecept form

Answer 1

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

The new line is parallel to y = 2x - 5 ... because parallel lines have the same slope, the slope of the new line is m = 2.

Then we're given b = 1/3, so putting it all together yields

y = 2x + 1/3 for the slope-intercept form

Answer 2

Parallel lines have equal slopes. Given a line in the form:

 

y = mx + b , then m = slope and b = y-intercept

 

If y = 2x - 5, the slope of this line is 2.

 

The problem tells us the y-intercept is 1/3

 

Our line can be expressed as :

 

y = 2x + 1/3