Answer: 2x - 5y = -17
Step-by-step explanation: Let's use the point-slope formula.
The point-slope formula is written y - y₁ = m(x - x₁).
In this formula, (x₁, y₁) is our point and <em>m</em> is our slope.
Now let's plug all our information into the formula.
So we have y - 3 = 2/5(x + 1).
Notice that I put x + 1 inside the parenthses and this
is because we have x minus a negative 1 which means x + 1.
Our next step would be to distribute this 2/5through both
terms inside the parenthses to get 2/5x + 2/5 on the right side.
So we have y - 3 = 2/5x + 2/5.
Now in standard form, we cannot have any fractions.
We need to get rid of them by multiplying
both sides of the equation by 5.
When we do this, we get 5y - 15 = 2x + 2.
Now we just move our number to the right by
adding 15 to both sides of the equation.
That gives us 5y = 2x + 17.
Move our 2x to the left side by subtracting
2x from both sides to get -2x + 5y = 17.
In standard form, the coefficient of the x term must be positive.
So our last step is to divide both sides
by -1 so that our answer is 2x - 5y = -17.
