Which choice shows +=7
1 answer:
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is the equation of the line in standard form
Convert to slope intercept form
where
m is the slope
b is the y-intercept
Isolate the variable y
subtract x both sides
simplify
The y-intercept is the point (0,7)
Find the x-intercept
For y=0
The x-intercept is the point (7,0)
Plot the intercepts and join them to graph the line
see the attached figure
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Answer:
The equation of the line passing through the points (4, 6) and (0, 6) will be:
- y = 6
The graph of the equation y = 6 is also attached.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the points
- (4, 6)
- (0, 6)
Finding the slope between (4, 6)and (0, 6).
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [6 - 6] / [0 - 4]
= 0 / -4
= 0
Thus, the slope of the line = m = 0
The slope m = 0 means the line is horizontal. Because the slope of the horizontal line is 0.
As the y-values are not changing with respect to the x-values.
Therefore,
The equation of the line passing through the points (4, 6) and (0, 6) will be:
- y = 6
The graph of the equation y = 6 is also attached.
A line can be formed by at least two known data points. When these two are given, you can connect them and extend infinitely in one direction for both ends. So, that is how we're going to approach the problem. The two points that can be easily determined are the x- and y-intercepts. These are the points which the line intersects on the x- and y-axis, respectively. If we want to find for the x-intercept, just let y=0 and substitute it to the linear equation. Then, we can solve for x. The same thing is done to calculate for the y-intercept.
Solving for the x-intercept: let y=0
-3x + 5y = 6
-3x + 0 = 6
-3x = 6
x = 6/-3
x = -2
Solving for the y-intercept: let x=0
-3x + 5y = 6
-3(0) + 5y = 6
5y = 6
y = 6/5
y = 1.2
So, the two points are (-2,0) and (0,1.2). The line drawn is shown in the picture. This is the graph of the linear equation given.
Solving for the x-intercept: let y=0
-3x + 5y = 6
-3x + 0 = 6
-3x = 6
x = 6/-3
x = -2
Solving for the y-intercept: let x=0
-3x + 5y = 6
-3(0) + 5y = 6
5y = 6
y = 6/5
y = 1.2
So, the two points are (-2,0) and (0,1.2). The line drawn is shown in the picture. This is the graph of the linear equation given.