Question

the graph of a straight line y=f(x) passes through the point (3,5) and (4,a). If the slope of the line is 3, what is the value of a?

I'm drawing a blank as to how to solve this problem

Answer 1

so, how do you calculate slope?

Answer 2

slope=rise/run

Answer 3

what does that mean?

Answer 4

like can you explicitly state the formula

Answer 5

@J.F

Answer 6

y=mx+b, m being slope and b being y intercept value

Answer 7

\(\large slope = m = \frac{y_2 - y_1}{x_2-x_1} \rightarrow 3 = \frac{a-5}{4-3} \)

Answer 8

solve for a

Answer 9

so, if you have two points, how do you calculate slope?

Answer 10

nin, a=8?

Answer 11

solve it

Answer 12

show how you got 8

Answer 13

I agree with nin, please show your work

Answer 14

3/1=a-5/4-3
3(4-3)=1(a-5)= 12-9=a-5
5+12-9=a
8=a

Answer 15

you could have done 4-3 first, but that's ok

Answer 16

So did I do something wrong?

Answer 17

no, but you could have made your life a little eaiser

Answer 18

, it is correct nonetheless

Answer 19

yeah, I was taught horribly in math. I kinda learned things weird. But its what I know

Answer 20

hey, it's all legal, and it works. I'd just say between steps ask yourself, can I simplify anything? combine any like terms? Then go

Answer 21

what she is saying is that if you can simplify things early, do it

Answer 22

BUt you should really memorize the slope formula. I tis REALLY REALLY useful

Answer 23

I honestly didn't memorize anything except areas until I started college, but I was taught concepts outside of the formulas so it was all good.

Answer 24

well, we could derive slope, but if you don't like derivations, you're better off memorizing it

Answer 25

if you think of slope, you think about the steepness - how sharp/fast it goes up or down for every time you go forward

Answer 26

yeah, They say the slope method is crucial to understanding Algebra. I on the other hand just suck at remembering math principles. Its not that I don't know math, I just forget suuper easy. Probably from lack of repetition

Answer 27

oh, then shall nin and I teach you how to derive it?