Question 238193
the standard form is y = mx + b where m is the slope and b is the y-intercept.


assume you are given the slope and one point on the line.


let the slope = 2


let the point = (3,5)


the standard form of y = mx + b becomes y = 2x + b


now you take the point (x,y) = (3,5) that is on the line (has to be on the line) and replace x and y in the equation with it.


the equation becomes 5 = 2*3 + b


then you solve for b.


in this case b = 5-1 = -1


your equation becomes y = 2x - 1


graph of that equation looks like:


{{{graph (400,400,-5,5,-5,5,2x-1)}}}


b is the y intercept which is the value of y when x = 0 which is -1.


the graph confirms that.


the slope is 2 which means that everytime x increases 1 unit, y increases 2 units.


that can be seen on the graph as well.


when x = 0, y = -1.


when x = 1, y = 1


when = 2, y = 3


etc.