Find the equation of a line passing through (3,4) and slope of -2
2 answers:
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
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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Step-by-step explanation:
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