<PRE><B>Question 387552</B>
m is the slope and the line is passing through the point (x,y) = (-2,1)

This means that x = -2 and y = 1 at that point on the graph.

the slope intercept form of the equation of a straight line is y = m*x + b

m is the slope
b is the y-intercept

replace m with -3 to get:

y = -3x + b

replace y with 1 and x with -2 and then solve for b.

you get:

1 = -3*(-2) + b

this becomes:

1 = 6 + b

this results in b = -5

your equation becomes:

y = -3x - 5

graph of your equation looks like this:

{{{graph(600,600,-5,5,-15,15,-3x-5)}}}


you can see that the graph passes through the point (-2,1)

when x = -2, y = -3*(-2) - 5 = 6 - 5 = 1

since the slope is -3, then for every + 1 unit change in the value of x, the value of y should change by - 3 units.

when x = 0, y = -5.
when x = 1, y = -8.
when x = 1, y = -11.
etc.


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