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Roman55 [17]
3 years ago
11

Find the equation of a line passing through (3,4) and slope of -2

Mathematics
2 answers:
guapka [62]3 years ago
3 0

Answer: <em>2x + y = 10</em>

Step-by-step explanation: When we're given a point and a slope, we can use the point-slope formula to write the equation of a line.

The point-slope formula is y - y₁ = m(x - x₁).

Now we can substitute our point and our slope into the formula.

y - 4 = -2(x - 3)

~distribute

y - 4 = -2x + 6

~isolate y

y = -2x + 10

~put into standard form

2x + y = 10

Orlov [11]3 years ago
3 0

Answer:

y=-2x+10

Step-by-step explanation:

To find the equation in forms of y=mx+b, first we must put in the slope(or m) which is -2, so we have:

y = -2x+b

Now, we can find the y intercept(or b) by plugging in our x and y values that the line passes through:

4 = -2(3)+b

4=-6 + b

10 = b so we have y = -2x+10

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