An equation in the form of slope intercept is written as y=mx+b. That means that we need to get y positive, which we can do by adding 3y to each side, and then subtracting 3 from each side to get y by itself. Doing all of these steps, the equation becomes 3y=5x-3. But, we're not done because we still need to get y equal to one, which we can do by dividing each side of the equation by 3. This makes the equation become y=5/3x-1.
The graph of the equation looks like this:
Given:
The objective is to find the slope of the straight line.
Explanation:
The general equation to find the slope is,
Let's consider two coordinates from the graph.
On plugging the values in the equation of slope,
Hence, the slope of the straight line is -5.
Answer:
- As the slopes of both lines 'm' and 'n' are the same.
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Step-by-step explanation:
We know that the slope-intercept of line equation is
Where m is the slope and b is the y-intercept
Given the equation of the line m
y = 1/2x - 4
comparing with the slope-intercept form of the line equation
y = mx + b
Therefore,
The slope of line 'm' will be = 1/2
We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2
Checking the equation of the line 'n'
solving for y to writing the equation in the slope-intercept form and determining the slope
Add -x to both sides.
Divide both sides by -2
comparing ith the slope-intercept form of the line equation
Thus, the slope of the line 'n' will be: 1/2
- As the slopes of both lines 'm' and 'n' are the same.
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Answer:
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Yes they do, in the grand aspect of things.
