Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.

Question

alexandrad · Answer

A. y=3x-7
B. y=3x-5
C. y=5x-11
D. y=5x-9

zyi6 · Answer

So, first we have to find the slope of the line:

Remember that the formula to find slope is $$y _{1} - y _{2} / x _{1} - x _{2}$$

So, we can substitute the given values in to find the slope:

4 -(-1) / 3 -  2 = 5

So now that we have our slope, we can start our equation like so:

y = 5x + b

So, now we need our y-intercept.

In order to do this, we can substitute in one of our points into the equation to solve for the y-intercept or the b of the equation. It does not matter which point you choose:

I will use (3, 4) here:

4 = 5(3) + b

Then solve for b:

4 = 15 + b
-11 = b

So, our finished equation is:

y = 5x - 11!

alexandrad · Answer

thank you !