PLEASE HURRY!! Mildred classifies the following system of equations.

y = 4x + 3

y = 6x + 1

Select Correct or Not correct for each statement.

Statements:
The system is consistent because the slopes and the y-intercepts are different.
The system is independent because the slopes and the y-intercepts are different.

The first statement is correct and the second statement is not correct as it is derived from the first statement,

We are given two equations;

y = 4x + 3

y = 6x + 1

From the equation of line in slope intercept form, the formula is;

y = mx + c

where;

m is slope

c is y intercept.

This means independency of an equation depends on if it is consistent and has exactly one solution.

Thus, in conclusion, the first statement is correct and the second one is not correct as it is derived from the first statement,

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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.