Question

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

Answer 1

y=-2x+10

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

Answer 2

Answer: 2x + y = 10

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