need help with algebra its urgent

Question

1) The equation M = -2t + 75 refers to how much money John has in his bank account. M is the amount of money in the account after t days. How much money does John have after 14 days?

Group of answer choices

$47

$103

$28

$61

2) Find the equation of the line through the point (-6, -5) and (-1, 1).

3) Write an equation through the point (8, 13) with a slope of 5/4 

4) Write a linear equation with a slope of -7.

Group of answer choices

y = 7x

y = -7x -1

y = -7

y = 2x - 7

5) Solve the system.

y = 4x - 7

y = 2x - 5



Group of answer choices

(2, 1)

(2, -1)

(3, 6)

(1, -3)

.

Answer 1

$47

M=-2(14) + 75 = 75-28= 47

(-6,-5), (-1,1) has a line through it with slope (1- -5)/(-1- -6)= 6/5

y= (6/5)x + b, solve for b by plugging in either point

1 =-6/5 + b

b = 11/5

y= (6/5)x + 11/5, multiply by 5

5y = 6x + 11 is a line through the two given points

slope = 5/4, through (8,13)

y=5x/4 + b

13=5(8)/4 + b

13 =10+b

b = 3

y=5x/4 +3

4y=5x +12 is a line with slope 5/4, through the point (8,13)

y=-7x - 1 is a line with slope =-7. when the equation is solved for y, the slope is the coefficient of the x term

(1,-3), plug it into each equation. It works for both.

y=4x-7, -3=4-7

y=2x-5, -3=2-5