Question

Input in standard form the equation of the given line. The line that passes through (-1, -3) and (2, 1)

Answer 1

IMPORTANT LINE RELATED EQUATIONS TO KNOW AND MEMORIZE

slope formula
m= slope/ gradiant -- same thing
\[m=\frac{y_2-y_1}{x_2-x_1}\]

standard formula
\[Ax+By=C\]

point-slope formula
\[y-y_1=m(x-x_1)\]

slope-intercept formula
b= y-intercept -- in the form of (0,y)

\[y=mx+b\]

Answer 2

i tried that but the answer doesnt seem to be correct when i plug the numbers back in

Answer 3

what is the slope?

Answer 4

my slope was 4/3

Answer 5

good, now take the slope and one of the points and substitute it into the point slope formula

Answer 6

this is what i got y+3=4/3(x+1)

Answer 7

ok good
now convert it into standard form

Answer 8

first start by distributing the 4/3

Answer 9

i got y+3=4/3x+4/3

Answer 10

good now change it standard form

Answer 11

ok i got -4/3x+y=5/3 the only problem i have with that answer is that for the website i have to use for my summer work is that there are boxes in which i have to input the numbers by dragging them in the boxes and there is no box to input a fraction

Answer 12

ok, well that means we need to get rid of the fraction

this can be done if you find the greatest common denominator of the equation and multiplying it to both sides


in other words

multiply the entire equation ( both sides) by 3

Answer 13

oh wait you made a mistake

it should be -5/3 not 5/3

Answer 14

oh yes i forgot to put that

Answer 15

ok so i got -4x+3y=-5

Answer 16

yes

Answer 17

thank you very much :)

Answer 18

no problem
it looks like you already know how to solve problems like these, so just take it step by step and slowly next time

Answer 19

yeah this is supposed to be algebra 1 review to get into trig/precalc

Answer 20

well, if you have any more questions we'll be happy to help

unless they're problems from exams

Answer 21

oh no these are just homework help questions. thank you again