Graph -3x+y=3

Problem

−3*x+y=3

Solution

1. Rewrite the equation in slope-intercept form, which is y=m*x+b by adding 3*x to both sides.

y=3*x+3

2. Identify the y-intercept from the equation, where b=3 This gives the point (0,3)

b=3

3. Identify the slope m which is the coefficient of x

m=3

4. Determine a second point using the slope. Since the slope is 3/1 move up 3 units and right 1 unit from the y-intercept (0,3) to reach the point (1,6)

(x,y)=(1,6)

5. Find the x-intercept by setting y=0 and solving for x

−3*x+0=3

−3*x=3

x=−1

6. Plot the points (−1,0) (0,3) and (1,6) on a coordinate plane and draw a straight line through them to complete the graph.

Final Answer

−3*x+y=3⇒y=3*x+3

Want more problems? Check here!