Find the equations of the following lines
b. gradient -4 and passing through point (2, 1)
c. passing through the points (2, -1) and (4, 2)
d. passing through the points (1, -3) and (6, -5)
e. passing through the point (5, -2) and parallel to x + 5y + 15 = 0
f. passing through the point (1, 6) and parallel to x - 3y - 2 = 0
g. passing through the point (-1, -5) and perpendicular to 3x + y + 2 = 0

You need these two basic solutions and facts to find the equation of a line:

We can use this list to solve all the exercises:

b)

Use the first equation to get

c)

Use the second equation to get

d) same as c)

e) We derive the slope of the line by writing it as

So, the slope is -1/5. From here, it's the same as b)

f) same as e)

g) Again we find the slope as

so the slope is -3, and a perpendicular line has slope 1/3. From there, it's the same as b).

answer: when you burn wood, the carbon reacts with the oxygen in the air to create ash and smoke. that is a permanent change you cannot undo that.

step-by-step explanation:

income. 10x+1300

expenses 3x+(1800+1500)

expenses 3x+3300

to break even:

income = expense,

10x + 1300 = 3x + 3300,

solve for x.

step-by-step explanation:

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