Question 1210277
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Parallel lines have the same slope.<br>
The slope of the line with the given equation is 5; the slope of the parallel line will be 5.<br>
The equation of the parallel line will be of the form y=5x+b.<br>
To find the equation of the line parallel to the given line passing through the given point (x,y)=(-2,6), substitute those x and y values in the general equation and solve for b.<br>
y = 5x+b
6 = 5(-2)+b
6 = -10+b
16 = b<br>
ANSWER: The equation of the line parallel to the given line and passing throught the given point is<br>
y = 5x+16<br>