I need help with this, I tried it and I don’t get it, can u just help me and explain please!

10-11 write a the slope-intercept form of the line with the given slope and point.10. m=4;(2,3)11. m=-2;(5,1)

The formula for slope intercept form is y = mx + b, where m represents the constant and b represent the y-intercept.

10. We know m is equal to 4. So let’s plug that into the equation.

y = 4x + b.

We are given the point (2, 3), so let’s plug that in and solve for b.

(2 is x and 3 is y)

3 = 4(2) + b

3 = 8 + b    Subtract 8.

-5 = b.

The equation is y = 4x – 5

11. We know m is equal to -2. So let’s plug that into the equation.

y = -2x + b

We are given the point (5, 1), so let’s plug that in and solve for b.

1 = -2(5) + b

1 = -10 + b     Add 10.

11 = b

The equation is y = -2x + 11

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720