Belgian Chocolates

can someone please help..no teachers to ask i do Independent Study,if you can explain how to do them to thanks

1- Find an equation in slope-intercept form for the line passing through each pair of points : (1,5) , (-1, -1)

2-A line passes through (1,-5) and (-3,7). Write the equation in slope-intercept form.

3- Solve the system of equations by substitution:
y=3x + 2 ; y= 4x

4-Solve the system of equations by substitution:
y= 4x - 5; y= 5x

5- Charlies chocolates charges $12 for each pound of Truffles plus $25 to seliver and incluse advertising for school fundraising Wrie an equation in slope-intercept form that shows the total cost y for x pounds of chocolate.

6-Solve the equation .Round to the nearest tenth is necessary.
m(squared) = 154

7- Solve the equation . Round to the nearest tenth is necessary. x(squared) =169

1. First, you can find the slope m = (x1 - x2)/(y1-y2)
m = (1 - (-1))/(5 - (-1)) = 2/6 = 1/3

Now you can use the point-slope equation:
(y -y1) = m(x - x1)
Let's use (-1, -1), you have
(y -(-1)) = m(x - (-1)) or y + 1 = m(x + 1)
solve for y and you get
y = mx + m -1

we know m = 1/3 so
y = 1/3x + 1/3 - 1

The answer is y = 1/3x - 2/3

2. Do the same as #1 with these coordinates

3. Substitute. We know y=4x so
4x = 3x + 2
Now you group like terms
4x - 3x = 2
x = 2

4. This one is just like 4

5. y = 12x + 25

6. Use a calculator: m = squareroot of 154 = 12.4

7. Same here. x=13

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