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Find the equation of the line parallel to y=1/2x+2 passes through the point (4,5) in slope intercept form

Sagot :

Answer:

y = [tex]\frac{1}{2}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

given the equation

y = [tex]\frac{1}{2}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

• Parallel lines have equal slopes , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c, substitute (4, 5 ) for x and y into the partial equation

5 = [tex]\frac{1}{2}[/tex] (4)  c = 2 + c ( subtract 2 from both sides )

3 = c

y = [tex]\frac{1}{2}[/tex] x + 3 ← equation of parallel line

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