# How do you write an equation of a line containing (2,4) and parallel to #x-2y=5#?

##### 3 Answers

See explanation below

#### Explanation:

If a line is parallel to another line it must have the same gradient (co-efficient of

Re-arrange the given equation of the line into the form

-2

General equation of line that passes through (2,4)

y=0.5

Substitute the

4=0.5(2)+

4=1+

I hope this helped

#### Explanation:

#• " Parallel lines have equal slopes"#

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"rearrange "x-2y=5" into this form"#

#-2y=-x+5#

#"divide all terms by "-2#

#rArry=1/2x-5/2larrcolor(blue)"in slope-intercept form"#

#"with slope m "=1/2#

#rArry=1/2x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(2,4)" into the partial equation"#

#4=1+brArrb=4-1=3#

#rArry=1/2x+3larrcolor(red)"equation of parallel line"#

#### Explanation:

Slope

Equation of line parallel to given line and passing through (2,4) is