The solution to a system of two linear equations is (4, -3). one equation has a slope of 4. the slope of the other line is the negative reciprocal of the slope of the first.

the system described above is represented by the following equations: y=1/4x-2 , y=4x-19

true or false?

False;
We are given the equation:
y = 4x - 19
This is a line with a gradient (more accurate term for slope) of 4;
The negative reciprocal of 4 is -1/4;
The other line given has a gradient of only 1/4, not -1/4, therefore, the equations do not match up with the given information.

Tip: In the situation where a line has a gradient that is the negative reciprocal of the gradient of another line, the two line will be perpendicular (i.e. the subtended angle from the point of intersection of the two lines will be 90°).