Line m is perpendicular to x − 5y = −1 and passes through (2, 9). What is the slope of line m? A −5
B 1/5
C 9
D 5

Slope of line M= -5

Step-by-step explanation:

Perpendicular lines have opposite reciprocals for slope.

For ex: 1/2x=y is perpendicular to -2x=y

For this one simplify the first equation:

x+1=5y

x/5+1/5=y

The slope of the original equation is 1/5.

So the slope of the perpendicular line would be -5.

The actual equation would be:

-5x+19=Y

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

step-by-step explanation:

659