To graph a line knowing a point and slope, follow these steps:
1. Identify the given point on the graph. Let's denote it as (x₁, y₁).
2. Determine the given slope. Let's denote it as m.
3. Plot the given point (x₁, y₁) on the graph. This will be the starting point of the line.
4. Use the slope (m) to find other points on the line. To do this, you can use the equation of slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
5. Calculate the y-intercept (b) using the given point (x₁, y₁) and the slope (m). Use the equation y = mx + b and substitute the values x₁, y₁, and m into it. Solve for b.
6. Once you have the value of the y-intercept (b), plot another point on the graph where x = 0 and y = b. This will be the y-intercept of the line.
7. Connect the two plotted points with a straight line. This line represents the graph of the equation.
Note: If the slope (m) is a fraction, you can simplify it, if possible, and use the simplified form to find other points on the line. Remember that a positive slope goes upward to the right, and a negative slope goes downward to the right.
Describe how to graph a line knowing a point and slope.
3 answers
good answer, but you don't need to calculate the intercept.
Just:
(1) plot the given point
(2) express the slope as a fraction, say a/b. Then
(a) from the point, go a units to the right, and b units up, and plot that point. (go left/down if a or b is negative)
(3) draw the line through the two points.
Just:
(1) plot the given point
(2) express the slope as a fraction, say a/b. Then
(a) from the point, go a units to the right, and b units up, and plot that point. (go left/down if a or b is negative)
(3) draw the line through the two points.
Apologies for the confusion. You are correct, there is no need to calculate the y-intercept when graphing a line knowing a point and slope. The simplified steps are as follows:
1. Plot the given point (x₁, y₁) on the graph.
2. Express the slope as a fraction, a/b where a and b are integers.
3. From the given point, move a units to the right (if a is positive) or to the left (if a is negative) on the x-axis.
4. From the new x-coordinate, move b units up (if b is positive) or down (if b is negative) on the y-axis.
5. Plot this new point.
6. Repeat steps 3 and 4 as needed to find additional points on the line.
7. Once you have at least two points plotted, draw a straight line through them.
By following these steps, you will accurately plot the line on the graph using the given point and slope.
1. Plot the given point (x₁, y₁) on the graph.
2. Express the slope as a fraction, a/b where a and b are integers.
3. From the given point, move a units to the right (if a is positive) or to the left (if a is negative) on the x-axis.
4. From the new x-coordinate, move b units up (if b is positive) or down (if b is negative) on the y-axis.
5. Plot this new point.
6. Repeat steps 3 and 4 as needed to find additional points on the line.
7. Once you have at least two points plotted, draw a straight line through them.
By following these steps, you will accurately plot the line on the graph using the given point and slope.
1 answer