SOLUTION: find the slope and the y-intercept of the graph of the linear equation. y = 3x -6 please explain and show a graph in simple terms

Algebra ->  Linear-equations -> SOLUTION: find the slope and the y-intercept of the graph of the linear equation. y = 3x -6 please explain and show a graph in simple terms      Log On


   

Question 1049207: find the slope and the y-intercept of the graph of the linear equation.
y = 3x -6
please explain and show a graph in simple terms
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

recall, the slope-intercept form of linear equation:
y=highlight%28m%29x%2Bhighlight%28b%29 where m represents a slope and b represents y-intercept
now, compare your equation y+=+3x+-6 to y=highlight%28m%29x%2Bhighlight%28b%29 and you can see that:
the slope is 3 and the y-intercept is -6
the y-intercept is a point where a line crosses y-axis and x=0, and the point is:
(0,-6)
since your equation is linear means the graph is a line, so only what we need is one more point to graph it
best way is to find x-intercept
so, set y=0 and solve for x
0=+3x+-6
6=+3x+
x=+2 the point is: (2,0)
plot these points and draw a line through