Write y - 6x = 5 in slope-intercept form
y = __
7 answers
6x + 5
Graph the equation x - y = 6 using the form y = mx + b
(0,-4), (1,-10)
(1,-5), (0,-6)
(0,3), (3,2)
(0,0), (6,6)
(0,-4), (1,-10)
(1,-5), (0,-6)
(0,3), (3,2)
(0,0), (6,6)
To graph the equation x - y = 6 in slope-intercept form, we need to rewrite the equation in the form y = mx + b.
Given equation: x - y = 6
Subtract x from both sides:
-y = -x + 6
Multiply by -1 to change the sign:
y = x - 6
So, in the slope-intercept form, the equation is: y = x - 6
Now, let's plot the points and graph the equation:
Point (0, -4):
y = 0 - 6
y = -6
(0, -6)
Point (1, -10):
y = 1 - 6
y = -5
(1, -5)
Point (1, -5):
y = 1 - 6
y = -5
(1, -5)
Point (0, -6):
y = 0 - 6
y = -6
(0, -6)
The graph passes through all these points.
Given equation: x - y = 6
Subtract x from both sides:
-y = -x + 6
Multiply by -1 to change the sign:
y = x - 6
So, in the slope-intercept form, the equation is: y = x - 6
Now, let's plot the points and graph the equation:
Point (0, -4):
y = 0 - 6
y = -6
(0, -6)
Point (1, -10):
y = 1 - 6
y = -5
(1, -5)
Point (1, -5):
y = 1 - 6
y = -5
(1, -5)
Point (0, -6):
y = 0 - 6
y = -6
(0, -6)
The graph passes through all these points.
Choose 1
I will choose the points (0, -6) and (1, -5) to graph the equation x - y = 6 in the slope-intercept form y = x - 6.
When x = 0:
y = 0 - 6
y = -6
So the point (0, -6) lies on the graph.
When x = 1:
y = 1 - 6
y = -5
So the point (1, -5) lies on the graph.
Plotting these two points on the graph and drawing a line connecting them, we can visualize the graph of the equation x - y = 6.
When x = 0:
y = 0 - 6
y = -6
So the point (0, -6) lies on the graph.
When x = 1:
y = 1 - 6
y = -5
So the point (1, -5) lies on the graph.
Plotting these two points on the graph and drawing a line connecting them, we can visualize the graph of the equation x - y = 6.
Describe what makes a proportion. Give an example of a proportion.
A proportion is an equation that states that two ratios or fractions are equal. In a proportion, the cross products of the ratios are also equal. Mathematically, a proportion can be written as:
a/b = c/d
where a, b, c, and d are numbers, and b and d are not zero.
For example, the proportion 2/4 = 3/6 states that the ratio of 2 to 4 is equal to the ratio of 3 to 6. In this case, the cross products are equal:
2 * 6 = 4 * 3
12 = 12
So, 2/4 = 3/6 is a proportion because the two ratios are equal, and the cross products are equal as well.
a/b = c/d
where a, b, c, and d are numbers, and b and d are not zero.
For example, the proportion 2/4 = 3/6 states that the ratio of 2 to 4 is equal to the ratio of 3 to 6. In this case, the cross products are equal:
2 * 6 = 4 * 3
12 = 12
So, 2/4 = 3/6 is a proportion because the two ratios are equal, and the cross products are equal as well.