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Find the equation of a line parallel to −4x+4y=4 that contains the point (−4,5).(Write the equation in slope-intercept form.)

User SteveCl
by
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1 Answer

7 votes

y = x + 9

Step-by-step explanation:

Rewriting the equation:

4y = 4x + 4

making y the subject of formula:

4y/4 = 4x/4 + 4/4

y = x + 1

For a line to be parallel to another line, the slope of one line will be equal to the slope of the other one

Comparing the equation above to equation of line:

y = mx + b

y = y

x = mx

x/x = mx/x

m = 1

slope of 1st line = 1

b = y-intercept = 1

we would insert the slope and point given in the equation of lie to get the y-intercept of the second line:

Point (-4, 5) = (x, y)

y = mx + b

5 = 1(-4) + b

5 = -4 + b

5 + 4 = b

b = 9

The equation of the second line becomes:

y = mx + b (slope intercept form)

y = 1(x) + 9

y = x + 9

User Gregory Boutte
by
7.8k points

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