Question

Write an equation of the line passing through the point (7, 3) that is parallel to the line 4x−7y=9.

Answer 1

The equation of the line is y = 4x/7 - 1

Explanation:

The equation of a straight line can be represented by

y = mx + c

where m represents the slope and c represents the y-intercept

So for;

4x - 7y = 9

7y = 4x - 9

y = 4x/7 - 9/7

The slope here is 4/7

Since the line we are trying to form is parallel, then the slope of the line is 4/7 also, since parallel lines have equal slope

So the equation of the new line will be;

y = 4x/7 + c

To get c, just put the point x = 7 and y = 3

3 = 4/7(7) + c

3 = 4 + c

c = 3-4

c = -1

So the equation of the line is;

y = 4x/7 - 1