Sketch the graph of y=mx for the given values of m.
m=3,-2,2/3,-1/4
please help me, I'm so confused!
In google type:
functions graphs online
When you see list of results click on:
rechneronline.de/function-graphs/
When page be open in first rectangle type:
3x
In second rectangle type:
-2x
In third rectangle type:
(2/3)*x
and click option:
Draw
Again open:
rechneronline.de/function-graphs/
In first rectangle type:
(-1/4)*x
and click option Draw
THANKS!!!!!!!!!! :)
No problem! I'll help you sketch the graph of y = mx for each value of m step-by-step.
1) When m = 3:
- Start by understanding that the equation y = mx represents a straight line with slope m and y-intercept 0.
- For m = 3, this means the line has a slope of 3.
- To plot the line, start at the origin (0,0) and move up 3 units and right 1 unit, as the slope is positive.
- Repeat this process to plot a second point, such as (2,6).
- Connect the two points with a straight line to complete the graph.
2) When m = -2:
- Similar to the previous step, the line has a slope of -2.
- Start at the origin again and this time, move down 2 units and right 1 unit.
- Plot another point, such as (2,-4).
- Connect the two points with a straight line.
3) When m = 2/3:
- This time, the slope is positive and equals 2/3.
- Begin at the origin and go up 2 units and right 3 units.
- Plot another point, like (3, 2).
- Connect the points with a straight line.
4) When m = -1/4:
- The slope is negative and equals -1/4.
- Start at the origin and go down 1 unit and right 4 units.
- Plot another point, such as (4,-1).
- Connect the points with a straight line.
Remember that all the lines should pass through the origin (0,0) since the y-intercept is 0. Plotting multiple points and connecting them helps you visualize the line more accurately.
No worries, I'm here to help! To sketch the graph of y = mx, you need to understand that the value of m determines the slope or gradient of the line.
Here's how you can sketch the graph for each value of m:
1. m = 3:
Since m = 3, the slope of the line is positive and steep. Start by marking a point (0, 0) or any other convenient point on the graph. Then, move 1 unit up and 3 units to the right from this point, and mark another point. Finally, draw a straight line passing through these two points. The line should slant upwards to the right.
2. m = -2:
With m = -2, the slope of the line is negative and steep. Start by marking a point (0, 0) or any other convenient point on the graph. Then, move 1 unit down and 2 units to the right from this point, and mark another point. Draw a straight line passing through these two points. The line should slant downwards to the right.
3. m = 2/3:
Given m = 2/3, the slope of the line is positive but less steep. Begin by marking a point (0, 0) or any other convenient point on the graph. Move 2 units up and 3 units to the right from this point, and mark another point. Draw a straight line passing through these two points, slanting upwards to the right, but not as steep as when m = 3.
4. m = -1/4:
Here, m = -1/4, implying a negative slope that is less steep. Start by marking a point (0, 0) or any other convenient point on the graph. Move 1 unit down and 4 units to the right from this point, and mark another point. Then, draw a straight line passing through these two points. The line should slant downwards to the right but not as steep as when m = -2.
Remember that the slope affects how steep or shallow the line is, as well as its direction. Practice these steps for each value of m, and you'll be able to sketch the graph of y = mx for any given slope.