Answer:
A) x = 0, y = 14
Step-by-step explanation:
Line A: y = 6x + 14
Therefore, the slope of line A = 6
If Line B is perpendicular to Line A, then the product of their slopes is -1.
⇒ slope of Line B = [tex]-\dfrac16[/tex]
Given Line B passes through point (2, 13 2/3).
Use slope-point form of linear equation to find equation for Line B:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-13 \frac23=-\dfrac16(x-2)[/tex]
[tex]\implies y=-\dfrac16x+14[/tex]
Solution of system is the point where the lines intersect.
From inspection of the equations of the lines, the point of intersection is (0, 14)
