Consider the equation y = 3x - 1
Identify the slope and y-intercept and
sketch the graph.
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Given :-
To Do :-
Solution :-
Given equation to us is ,
→ y = 3x -1
As we know that , the slope intercept form of the line is ,
→ y = mx + c
where m is the slope and c is the y intercept .On comparing both , we have ,
So the graph will cut the y axis at (0,-1) . And will have a slope of 3 .
When y coordinate is 0 ,
So that ,
→ x - 0 / 0 -(-1) = 3
→ x/0+1 = 3
→ x/1 = 3
→ x = 3
Hence one other point is (3,0 ).
Now we may plot the graph using these two points (3,0) and (0,-1) .
For graph see attachment .
I hope this helps .