what is the equation of the line that is parallel to the given line and passes through the point (2, 3)?

Given problems:

    Line parallel that passes through (2,3);

Solution:

To solve this problem, we need to first understand what parallel lines are.

A parallel line is any two line that does not meet at any point.

In order to achieve this, both lines must have the same slope.

 So, we find the slope of the given line and write in the form for a straight line.

 Slope of line  =

      let   x₁, y₁ = (-2, -1)

              x₂, y₂ = (2 , -3)

Now input the parameters and solve for the slope;

            Slope of line =   =

Any line that would be parallel to this must have the same slope.

 Equation of a straight line;

                  y  = mx + c;

      y and x are the coordinates;

      m is the slope

      c is the y-axis intercept;

       From  (2, 3);

        y = 3 and x = 2; m =

     3 = x 2 + C

     3 = + C

       C =

 So the equation of the line is;

               y =  +

 Multiply through by 3;

              3y = -2x + 13

The equation of the line is 3y = -2x + 13

answer: idk

step-by-step explanation:

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.