15.2k views
0 votes
write the equation of the line that is parallel to the line that has equation y=2x-3 with y-intercept 5

1 Answer

5 votes

The equation of a parallel line is y = 2x + 5.

Solution:

Given equation of a line is y = 2x - 3.

Slope of the line
(m_1) = 2

If two lines are parallel, then the slope of their lines are equal.


\Rightarrow m_1=m_2


\Rightarrow m_2=2

y-intercept of the parallel line = 5

That is b = 5.

Equation of a parallel line:

y = mx + b

y = 2x + 5

Hence the equation of a parallel line is y = 2x + 5.

User Sdfadfaasd
by
5.1k points