Use the slope and y intercept to graph y=-3x+1

9the equation of a line in ' slope- intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

y = 3x + 1 is in this form

with slope = 3 and y-intercept = 1

the graph crosses the y- axis at ( 0, 1 )

from this point moving 3 units vertically up and 1 unit horizontally right gives the point (1, 4 ) . Repeating this gives the point  (2, 7 )

Plot the points (0, 1 ), (1, 4 ) and (2, 7 )

Draw a straight line through them for graph of y = 3x + 1