y = -1/6 x + 5
identify the slope and the y-intercept of the equation.?
how you would graph this line using the slope-intercept method. ?
my teacher is saying im still getting the wrong answer:( please help
The slope is -1/6. The y-intercept is 5. To graph you start at (0, 5) and you go up once and over to the left 6 times. rise/run
To identify the slope and y-intercept of the equation y = -1/6x + 5, we can compare it to the slope-intercept form of an equation, which is y = mx + b. In this form, 'm' represents the slope, and 'b' represents the y-intercept.
So, in the given equation, the coefficient of 'x' (-1/6) represents the slope (m), and the constant term (+5) represents the y-intercept (b).
Therefore, the slope of the equation y = -1/6x + 5 is -1/6, and the y-intercept is 5.
Now let's discuss how to graph this line using the slope-intercept method:
1. Plot the y-intercept:
Start by marking a point on the y-axis where the line intersects it. In this case, the y-intercept is 5, so plot a point at (0, 5).
2. Determine the slope using the rise over run method:
The slope of the equation is -1/6. This means that for every 6 units you move to the right, you need to move down 1 unit. Using this information, locate another point on the line.
For example, starting from the y-intercept point (0, 5), move 6 units to the right (since the denominator of the slope is 6), and then move 1 unit down (since the numerator of the slope is -1). This will give you a new point on the line. In this case, it would be the point (6, 4).
3. Draw a straight line through the points:
Once you have plotted the y-intercept (0, 5) and another point on the line (6, 4), use a ruler or a straightedge to draw a straight line through these two points. Make sure the line extends beyond the plotted points to show its full length.
That's the process for graphing the line using the slope-intercept method. Remember to double-check your work and make sure all the points are accurately plotted on the graph.