Question

The instructor had saved $3,500 and rents an apartment

for $275 monthly. He believes the point (6, 1850) would
be on the equation of the line. Is he correct? Explain how
to check if a point is on a line.

Answer 1

Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Explanation:

right on edge.2020

Answer 2

Explanation:

The instructor had saved $3,500 and rents an apartment for $275 monthly. The slope-intercept form of the above scenario is :

y=-275x+3500

The instructor belives that the point (6, 1850) would be on the equation of the line. Put y = 1850 and x = 6 in the above equation. So,

1850=-275(6)+3500

1850=1850

LHS=RHS

It means that the point (6,1850) lies on the line. Hence, he was correct.