Write an equation of the line that is perpendicular to 2x + 4y = 6 and passes through the point (6, 4) ). es A ) y = 2x + 4 B) y = 2x - 8 y = - 2x + 16 y = - 1/2 * x + 4

B - y = 2x - 8

Step-by-step explanation:

Step 1: find slope

2x + 4y = 6

4y = -2x + 6

Make y the subject of the formula

y =( -2x + 6)/4

We can separate to get the slope

y = -2x/4 + 6/4

y = -x/2 + 3/2

Slope m = -1/2

Step 2: using a point slope form equation

y - y1 = m ( x - x1)

Note: if two lines are perpendicular to the other, it is always a negative reciprocal of each other

ie m = 2

Substitute m into the equation

y - y1 = 2(x - x1)

Step 3: sub the point

( 6 , 4)

x1 = 6

y1 = 4

y - 4 = 2( x - 6)

Step 4 : using a slope intercept form equation

Open the bracket

y - 4 = 2x - 12

y = 2x - 12 + 4

y = 2x - 8

The equation of a line is

y = 2x - 8

you have 6 cupcakes

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.