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Any line parallel to the given line has the form
7x + 2y = c,
where "c" is some constant. For your case, you determine the value of the constant term "c" from the condition,
that the point (2,3) belongs to this line.
For it, substitute the coordinates of the given point x= 2 and y= 3 into the equation (1). You will get
c = 7*2 + 2*3 = 14 + 6 = 20.
So, your equation is
7x + 2y = 20.
Completed and solved.
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To wider your horizon, look into my lessons
- Find the slope of a straight line in a coordinate plane passing through two given points
- Equation for a straight line having a given slope and passing through a given point
- Solving problems related to the slope of a straight line
- Equation for a straight line in a coordinate plane passing through two given points
- Equation for a straight line parallel to a given line and passing through a given point
- Equation for a straight line perpendicular to a given line and passing through a given point
in this site.