Question 226413
Find the slope and y-intercept of the line represented by each of the following equations.


{{{y = 3x + 5}}}


Step 1.  The slope intercept form is given as {{{y = mx + b}}}where m is the slope and b is the y-intercept when x=0 or at point(0,b)}}}


Step 2.  Comparing {{{y = 3x + 5}}} with {{{y = mx + b}}}, we have the slope m=3 and the y-intercept  is b=5.


Step 3.  ANSWER:  The slope is m=3 and the y-intercept is b=5.


Here' a graph and note the slope and y-intercept.  Note the slope of 3 means for every 1 one you go to the right you go 3 units up.  Also, the y-intercept b=5 is at point(0,5)


{{{graph(400,400, -10, 10, -10, 10, 3x+5)}}}


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J