Transform y-6=2(3x+8) into slope intercept form
To transform the equation y-6=2(3x+8) into slope-intercept form (y=mx+b), we need to isolate y.
First, distribute 2 to (3x+8):
y-6=6x+16
Next, isolate y by moving -6 to the right side:
y=6x+16+6
Simplifying, we get:
y=6x+22
Therefore, the equation is now in slope-intercept form.
Graph y=3x+5
To graph the equation y=3x+5, we will utilize the slope-intercept form (y=mx+b).
The equation y=3x+5 tells us that the slope is 3, which means that for every 1 unit increase in the x-coordinate, the y-coordinate increases by 3 units.
To begin graphing, we can assign values to x and find the corresponding y-values.
When x=0:
y = 3(0) + 5 = 5
When x=-1:
y = 3(-1) + 5 = 2
When x=1:
y = 3(1) + 5 = 8
When x=-2:
y = 3(-2) + 5 = -1
When x=2:
y = 3(2) + 5 = 11
Plotting these points on the graph, we can connect them to form a straight line.
The graph of y=3x+5 is a line that passes through the points (0, 5), (-1, 2), (1, 8), (-2, -1), and (2, 11).
Graph y=-3x+5
To graph the equation y=-3x+5, we can use the slope-intercept form (y=mx+b).
The equation y=-3x+5 tells us that the slope is -3, which means that for every 1 unit increase in the x-coordinate, the y-coordinate decreases by 3 units.
To begin graphing, we can assign values to x and find the corresponding y-values.
When x=0:
y = -3(0) + 5 = 5
When x=-1:
y = -3(-1) + 5 = 8
When x=1:
y = -3(1) + 5 = 2
When x=-2:
y = -3(-2) + 5 = 11
When x=2:
y = -3(2) + 5 = -1
Plotting these points on the graph, we can connect them to form a straight line.
The graph of y=-3x+5 is a line that passes through the points (0, 5), (-1, 8), (1, 2), (-2, 11), and (2, -1).
Two dots only
If we only consider two points, we can choose any two points on the line.
Let's select the points (0, 5) and (1, 2).
Plotting these two points on the graph and connecting them with a straight line, we will see the graph of y=-3x+5.
Use two points and graph y=5/7x+2
To graph y=5/7x+2, we will use two points on the line.
Let's choose the points (0, 2) and (7, 7).
When x=0:
y = (5/7)(0) + 2 = 2
When x=7:
y = (5/7)(7) + 2 = 5 + 2 = 7
Plotting these two points on the graph and connecting them with a straight line, we can see the graph of y=5/7x+2.
Solve -3/y=20/9
y=?