56.2k views
13 votes
What is the equation of the line that passes through the point (6,3) and has a slope

of -1/3? ANSWER NEEDED ASAP!!

User Dschu
by
4.6k points

1 Answer

5 votes

Answer:
y = -(1)/(3)x + 5\\\\

Work Shown:


y - y_1 = m(x - x_1)\\\\y - 3 = -(1)/(3)(x - 6)\\\\y - 3 = -(1)/(3)x + (1)/(3)*6\\\\y - 3 = -(1)/(3)x + 2\\\\y = -(1)/(3)x + 2+3\\\\y = -(1)/(3)x + 5\\\\

This line has a y intercept of 5, which means (0,5) is on the graph along with (6,3). The line moves downhill when moving left to right, because the slope is negative.

User Florin Secal
by
4.1k points