Question

write the equation of the line that contains (1,4) and (3,10) in point slope, slope intercept, and standard form

Answer 1

find slope
y2 - y1
------ = m
x2-x1

point slope

y - y1 = m(x - x1) you put in the y1, the x1 and the m

Answer 2

x1 y1 x2 y2
( 1, 4) (3, 10)

Answer 3

We can write :
\[y=ax+b\]
where :
\[a=\frac{y_2-y_1}{x_2-x_1}=\frac{10-4}{3-1}=3\]
For finding b, because (1,4) is from the line, we have :
\[4=1\times a+b=3+b\]
so :
\[b=4-3=1\]
Hence , the equation is :
\[y=3x+1\]

Answer 4

Whats the m, is it the slope?

Answer 5

and for the point slope does it matter which set of variables you use

Answer 6

if you mean, does it matter which points you use? no you can use either one

Answer 7

cool beans

Answer 8

how do I turn this into standard form?

Answer 9

start with y = 3x +1 now get the 1 by itself

Answer 10

now the trick with standard from is that the x's go first and they have to be positive

what did you do to get the 1 by itself?

Answer 11

or are you still working on the point slope?

Answer 12

you good here?