SOLUTION: Can you get this point-slope equation when m = 1, (x1, y1) = (-6, -4)?

Question 966658: Can you get this point-slope equation when m = 1, (x1, y1) = (-6, -4)?
Found 2 solutions by josmiceli, Theo:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
( -6, -4 )

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check:
does it go through ( -6, -4 ) ?

OK
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
if you have the slope and one point, you can get the point slope form of the equation in the following manner.

the point slope form of the equation is y - y1 = m * (x - x1)

m is the slope.
(x1,y1) is the given point.

start with y - y1 = m * (x - x1)

you are given that m = 1, (x1, y1) = (-6, -4)?

replace m with 1 and replace x1 with -6 and replace y1 with -4 to get:

y - y1 = m * (x - x1) becomes y - (-4) = 1 * (x - (-6)) which then becomes:

y + 4 = 1 * (x + 6)

that's the point slope form of the equation.

if that's what you were asked for, then that's the solution to the problem.

after you get the poiint slope form of the equation, you then will want to convert this to the slope intercept form of the equation.

start with y + 4 = 1 * (x + 6)

simplify to get y + 4 = x + 6

subtract 4 from both sides of the eqution to get y = x + 2.

that's the slope intercept form of the same equation.

the slope intercept form of the equation is y = mx + b

m is the slope which is equal to 1.

b is the y-intercept which is equal to 2.

the graph of the equation looks like this:

there are two points on this graph that should interest you.

they are (0,2) and (-6,-4).

(-6,-4) should interest you because it's on the grpah of the equation, as it should be.

from (0,2) and (-6,-4), you can calculate the slope as (-4-2)/(-6-0) which is equal to -6/-6 which is equal to 1.

the point slope form of your eqution is y+4 = 1 * (x+6).

from that you were able to derive the slope intercept form of the equation which is y = x + 2.

we graphed the equation of y = x + 2 and confirmed that the point (-6,-4) is on it and also confirmed that the slope is 1.

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