To graph y= 3x +5
The graph can be done by locating 2 points of a line, and connecting them and extending.
easiest way to find 2 points are intercepts.
y = 3x +5
x=0, y =5 (0,5) is vertical intercept
y = 0 X = -5/3 ( -5/3, 0) is X intercept, connect those 2 points and get the graph.( graph is increasing because of positive slope).
Y =-3x +5 (0 ,5) , ( 5/3 , 0 ) connect the intercept points , and get the graph.( graph is decreasing because of negative slope)
To graph with a point and slope, for first one from y intercept( 0,5) go 3 points rise(up), and 1 point
2nd one 3 points down(fall), and 1 point right.