Write the equation for the line that has a slope of -4 and passes through the point (-2, 2)

y= -4x+ 6

Step 1: Write an equation

To start off, let’s write the outline for the equation we will need. From my understanding of the question, we will need to put the equation in slope- intercept form. Let’s write the formula now.

y= mx+ b

Step 2: Substitute information

Now that we know the formula, we need to substitute the information we are given. Let’s start with the slope, which is represented in the equation by the letter m.

y= mx+ b
y= -4x+ b

Step 3: Solve

Now let’s solve for b. We will do so by substituting the given point into the equation by changing y and x. We will use that information to solve, which will bring us the only other unknown variable, b. Let’s do this now.

y= -4x+ b
2= -4(-2)+ b
2= 8+ b
6= b

Step 4: Revise equation

We now know the answer for b. We can substitute this into the equation. Since y and x can remain a variable, this will complete our equation.

y= -4x+ 6

Hope this helps! Comment below for more questions.

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