Question

Input in standard form the equation of the given line.

The line that passes through (-1, -3) and (2, 1)

Answer 1

first u can write the standard for for an line..
y = mx + b
where
m = slope
b = intercept

to find slope...
if u have 2 sets of coordinates.. (x1 , y) and (x2 , y2)
\[slope = \frac{ y_{2} - y_{1} }{ x_{2} - x_{2} }\]

since u got a pair of coordinates what will be ur slope ?

Answer 2

Since two points are given, so two point formula will be used and equation will come out to be
\[4x-3y-5=0\]

Answer 3

i only have 7 spaces to put the standard form in for example. (x3+x5=8)

Answer 4

if u simplify it ... u will gain a slope of ...
4/3
which means u will have an equation of
y= (4/3)x + b
now to find b lets use
(2 , 1) AND plug the in to our equation..
1 = (4/3)2 + b
b= -5/3..

so... ur equation will be
y= (4/3)x - 5/3
which is
3y = 4x -5
got it :) ?

Answer 5

thanks

Answer 6

u r welcome!