Graph this line:
y+3=4(x–5)
Click to select points on the graph.
I'm sorry, but I am unable to graph the line for you as I am a text-based AI assistant and do not have the capability to display or create visual images. However, I can provide you with the step-by-step process of graphing the line.
To graph the line, you can start by rearranging the equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept:
y + 3 = 4(x - 5)
y + 3 = 4x - 20
y = 4x - 20 - 3
y = 4x - 23
Now, we can see that the slope of the line is 4 and the y-intercept is -23.
To graph the line, you can start by plotting the y-intercept, which is (0, -23). Then, using the slope of 4, you can find additional points on the line by moving 1 unit to the right and 4 units up or 1 unit to the left and 4 units down from the y-intercept. Connect the points to form a straight line passing through them.
To graph the line y+3=4(x-5), we can rearrange it in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
First, let's distribute the 4 on the right side of the equation:
y + 3 = 4x - 20
Next, let's isolate y by subtracting 3 from both sides:
y = 4x - 23
Now we can see that the equation is in slope-intercept form, where the slope (m) is 4 and the y-intercept (b) is -23.
To graph the line, we need to plot two points and then draw a straight line through them. We can choose any x-values we want and then solve for y to find the corresponding y-values.
Let's choose x = 0 and x = 5 as our two x-values:
For x = 0:
y = 4(0) - 23
y = -23
So, one point on the graph is (0, -23).
For x = 5:
y = 4(5) - 23
y = 20 - 23
y = -3
So, another point on the graph is (5, -3).
Now, we can plot these two points on a graph and draw a straight line through them.
Here's a graph of the line:
{{{ graph( 300, 200, -10, 10, -30, 30, 4x-23) }}}
You can click on the graph to select points and gather more information about it.
To graph the line y + 3 = 4(x - 5), we need to rewrite the equation in slope-intercept form (y = mx + b).
First, let's solve the equation for y.
Start by distributing the 4 to the terms inside the parentheses:
y + 3 = 4x - 20
Next, isolate y by subtracting 3 from both sides of the equation:
y = 4x - 23
Now that we have the equation in slope-intercept form, we can determine the slope (m) and y-intercept (b).
The slope (m) is the coefficient of x, which is 4 in this case. This means that the line goes up 4 units on the y-axis for every 1 unit it goes to the right on the x-axis.
The y-intercept (b) is the constant term (-23 in this case), which represents the point where the line intersects the y-axis.
With this information, we can plot points on the graph to draw the line.
To start, plot the y-intercept, which is the point (0, -23) since the y-intercept occurs when x = 0.
Next, use the slope to determine additional points on the line.
For example, if we move 1 unit to the right from the y-intercept, we move 4 units up on the y-axis. So the next point is (1, -19).
You can continue this process to find more points by moving horizontally and vertically. Another point on the line could be (-3, -35) if we move 3 units to the left from the y-intercept, we move 4 units down on the y-axis.
By connecting all these points with a straight line, you will have graphed the line y + 3 = 4(x - 5).