SOLUTION: So, we're supposed to find the slope and y-intercept for the following problem: (3,4) (5,7) and I know how ti work out the problem, I just can't set it up! I true m= 4-7 over 3-5

Question 615924: So, we're supposed to find the slope and y-intercept for the following problem:
(3,4) (5,7) and I know how ti work out the problem, I just can't set it up! I true m= 4-7 over 3-5 but then I got stuck and knew it wasn't right. What do I do?
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First let's find the slope of the line through the points and

Note: is the first point . So this means that and .
Also, is the second point . So this means that and .

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

So the slope of the line that goes through the points and is

Now let's use the point slope formula:

Start with the point slope formula

Plug in , , and

Distribute

Multiply

Add 4 to both sides.

Combine like terms. note: If you need help with fractions, check out this solver.

So the equation that goes through the points and is

So the slope is and the y-intercept is $\LARGE \dpi{120} \left(0,- \frac{1}{2} \right )$

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(3,4),(5,7)
slope =
So far I have:

Now I can plug one of the given points back into equation

The equation is

check:
Does it go through (5,7)?

OK
RELATED QUESTIONS
Question: Find the slope and y-intercept of the line given by 2x+3y=5. I don't know how (answered by Alan3354,fcabanski)
In Problem 26, your best bet is to sketch a graph on paper with all the known information (answered by scott8148)
I know how to work out x and y intercepts accept when the problem reads like this: y =... (answered by josgarithmetic)
Please help!! I am trying to find out how to do the following problem. Write a equation... (answered by fractalier)
Find the equation of the line that contains the point (1,0) and is perpendicular to... (answered by Alan3354)
Find the slope and y-intercept of the equation. Y= -2x+2/5 Please work out the... (answered by Alan3354,josgarithmetic)
I have my final tomorrow and cannot figure these problems out. I need to know HOW to work (answered by jim_thompson5910,stanbon)
I can't find any examples of logarithmic functions that have another number before the... (answered by ewatrrr,Edwin McCravy)
Given the function 2x+y=7 find the following: a. X-intercept b. Y-intercept c. Slope... (answered by ewatrrr)