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The line parallel to y = x+4 has the form y = x + c, where "c" is some constant.
We find the value of "c" by substituting the coordinates of the given point (3,-1) into the equation
-1 = 3 + c,
which gives c = -1 - 3 = -4.
So, the equation of the requested line is
y = x -4. ANSWER
Solved and completed.
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There is a group of closely related lessons in this site
- 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
- Advanced problems on finding equations for straight lines
Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.