I need to graph the line y=-4x-3 using the slope and y intercept form how do i do this
In this case :
slope = - 4
y intercept = - 3
In google type:
functions graphs online
When you see list of results click on: rechneronline.de/function-graphs/
When page be open in blue rectangle type:
-4x-3
And click option: Draw
To graph the line y = -4x - 3 using the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:
Step 1: Start by locating the y-intercept:
- The y-intercept is the point where the line intersects the y-axis.
- In this case, the y-intercept is -3 since the equation is y = -4x - 3.
- Plot the point (0, -3) on the graph. This is the starting point of the line.
Step 2: Determine the slope:
- The slope tells us how steep the line is and in which direction it goes.
- In this case, the slope is -4.
- Since the slope is negative, the line will slope downwards from left to right.
Step 3: Plot the second point using the slope:
- From the y-intercept (0, -3), use the slope -4 to determine the next point.
- Since the slope is -4, it means for every 1 unit increase in x, the y-value decreases by 4 units.
- Start at the y-intercept (0, -3) and move 1 unit to the right (increase x by 1).
- Then, move 4 units downwards (decrease y by 4).
- Plot the new point at (1, -7).
Step 4: Draw a straight line through the two points:
- Connect the y-intercept (0, -3) and the second point (1, -7) with a straight line.
- Extend the line as needed.
Your graph should now show a straight line passing through the points (0, -3) and (1, -7), representing the equation y = -4x - 3.
To graph the line y=-4x-3 using the slope-intercept form, you need to follow these steps:
Step 1: Identify the slope and y-intercept.
In the equation y = mx + b, m represents the slope, and b represents the y-intercept. In this case, the slope is -4, and the y-intercept is -3.
Step 2: Plot the y-intercept.
Start by locating the y-intercept on the y-axis. In this case, the y-intercept is -3, so you would start by plotting the point (0, -3).
Step 3: Use the slope to find additional points.
Since the slope is -4, it means that for every 1 unit increase in x, y will decrease by 4 units. You can use this information to find additional points by either moving 1 unit down and 4 units to the right or moving 1 unit up and 4 units to the left from the y-intercept.
Step 4: Plot the additional points and draw the line.
Using the information from step 3, plot at least two additional points on the graph. Once you have multiple points, draw a straight line that connects them. Make sure the line extends beyond the plotted points to show the full length of the line.
So, to graph the line y = -4x - 3, you would plot the point (0,-3) and then use the slope (-4) to locate additional points to draw a straight line connecting the points.
Not necessary.
x intercept
- 4 x - 3 = 0
- 4 x = 3 Divide both sides by - 4
x = - 3 / 4
A line passing through points :
x = - 3 / 4 , y = 0
and
x = 0 , y = - 3