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Question

find the slope of a line parallel to the graph of each equation :
y = 2/7x + 1
write an equation for the line that is parallel to the given line and that passes through the given point.
(3,4) y = 2x - 7

Answer 1

Given that equation of line is parallel to y = 2x - 7

Here slope m = 2

For any two parallel lines slopes are equal m1 = m2 = 2

Given that required line is passing through (3 , 4)

Substitute in slope intercept form of line y = mx + c

4 = (2) (3) + c

4 = 6 + c

c = 4 - 6

c = -2

Here c = -2 and m = 2

Therefore the rquaired equation of line is y = 2x - 2

Answer 2

1) The line equation y = 2x/7 + 1

Compare it to slope intercept form of line equation y = mx + b

Here m is slope and b is y intercept.

 m = 2/7, b = 1

We know that parallel lines have equal slopes.

Therefore, slope of a parallel line to y = 2x/7 + 1 is 2/7.