Question

Write an equation in slope-intercept form for: m=2 through (3,-2)

Answer 1

Answer: y = 2x - 8

Explanation:

We already have our slope, so we're gonna use the point-slope form equation to solve this problem. The point-slope form equation is y-y₁=m(x-x₁). We're gonna replace the variables now like the following: y+2=2(x-3). We can simplify this to y+2=2x-6. We can then rearrange the equation to fit the slope-intercept form, so our answer would be y=2x-8. I hope that helps!

Answer 2

y = 2x - 8

Explanation:

To write the equation in slope-intercept form, we can use the formula: y = mx + b. Since the slope (m) is given as 2, we can substitute that in.

Now we just need to find the y-intercept (b). We have a point on the line (3, -2), so we can substitute those values in as well.

Let's plug everything in:

y = 2x + b

-2 = 2(3) + b

Simplify and solve for b:

-2 = 6 + b

b = -8

So the equation in slope-intercept form is

y = 2x -8.