How do you find the important points to graph #y = x - 3 + 4#?

1 Answer
Meave60
Nov 4, 2015

#"slope= m"=1"#
#"y-intercept"="b"="1"#
#"x-intercept"=-1"#

Explanation:

#y=x-3+4#

Simplify.

#y=x+1#

This equation is in slope-intercept form, #y=mx+b#, where #m# is the slope #+1#, and #b# is the y-intercept #+1#. The y-intercept is the value of #y# when #x=0#.

The point is #(0,1)#.

The x-intercept is the value of #x# when #y=0#. Substitute #0# for #y# and solve for #x#.

#0=x+1#

#-1=x#

Switch sides.

#x=-1# is the x-intercept.

The point is #(-1,0)#

Plot the points for the x-intercept and the y-intercept and draw a straight line through the points.

graph{y=x+1 [-10, 10, -5, 5]}

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