HELP i don’t get this
Find the Error when graphing the equation y = - 3x + 2 , a student plotted the y-intercept at 2, then moved down 3 units and to the left 2 units because the slope is negative , so both rise and run are negative Find his error and correct it .
Easy to spot.
The slope is -3 or -3/1 or 3/-1
So the student should have moved down 3, then to the right 1
or
the student could have moved up 3 , then to the left 1.
moving down 3 then to the left 2 would be -3/-2 or +3/2
which is not the given slope
thank you so much reiny!!!
The error the student made while graphing the equation y = -3x + 2 is that they moved 2 units to the left instead of moving 2 units to the right.
To correct this error, we need to understand the slope-intercept form of a linear equation, which is y = mx + b. In this equation, 'm' represents the slope and 'b' represents the y-intercept.
In the given equation y = -3x + 2, the coefficient of 'x' (-3) represents the slope, and the constant term (2) represents the y-intercept. The negative value of the slope indicates that the line will have a negative slope, meaning it will slope downwards from left to right.
To graph this equation correctly, start by plotting the y-intercept, which in this case is (0, 2). This means that the line intersects the y-axis at the point (0, 2). Now, according to the slope, you need to move down 3 units and move 2 units to the right from the y-intercept to find another point on the line.
However, the student made an error by moving 2 units to the left instead of moving 2 units to the right. This created a significant discrepancy in the position of the line.
To correct the error, you need to move 2 units to the right from the y-intercept (0, 2) instead of moving 2 units to the left. This will give you the correct point on the line. Repeat this process to find more points on the line and then draw a straight line passing through all the points to complete the graph.
By following these steps, you will be able to correctly graph the equation y = -3x + 2 and avoid the error made by the student.