y = 4x + 2
Find the slope of a line parallel to the given equation.
First, let's take a look at what it means to be parallel.
The easiest way to look at it, is to think of railroad tracks.
Parallel lines are the same distance apart for EVERY point on the line.
This means, parallel lines will NEVER, ever cross. There will never be a point in common with both.
Now think about how this will help us with our slope in the equation.
Try to answer the following.
Our parallel line will have:
a) the same slope as the given line
OR
b) a different slope as the given line
That's right, (a). If you're asked to find the equation/slope of a parallel line to a given line, the parallel line will always have the exact SAME slope as your given line!
Since our given line y= 4x +2 has a slope of 4, the parallel line to y = 4x +2 will also have a slope of 4.
Remember, the general form of a linear equation is y = mx +b, where m = slope and b = y-intercept.
An horizontal line . A line parallel with the x-axis. NB A vertical line / a slope parallel with the y-axis is described as 'undefined'.
The slope of both lines will be the same.
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.
The graph of [ x = 1 ] is a straight vertical line, parallel to the y-axis and one unit to the right of it. According to all the normal processes of naming the slope of a line on a graph, you would say that the slope of this line is "infinity", but the official way to say it is that the slope is "undefined".
x = negative 1 is a vertical straight line parallel to the y axis at x = -1 ; its slope is infinite
The graph of [ y = 4x + 2 ] is a straight line with a slope of 4.Any line with a slope of 4 is parallel to that one, and any line parallel to that one has a slope of 4.
It has no slope and is parallel to the x axis
Parallel lines have the same slope. So if you know the slope of a line in question, or you can calculate it, then you know the slope of any line parallel to that line.
When the equation of a line is parallel to another line the slope remains the same but the y intercept changes
Line a is parallel to line b, m, and . Find .
When the slope of a line reaches zero it then will be parallel to the x or y axes depending if its a positive or a negative slope.
When the slope of a line reaches zero it then will be parallel to the x or y axes depending if its a positive or a negative slope.
When the slope of a line reaches zero it then will be parallel to the x or y axes depending if its a positive or a negative slope.
When the slope of a line reaches zero it then will be parallel to the x or y axes depending if its a positive or a negative slope.
To graph an equation that is not in slope-intercept form, you can use the process of finding points on the graph and plotting them. Choose a few x-values, plug them into the equation to find the corresponding y-values, and plot those points on the graph. Then, connect the points with a smooth line to complete the graph.
The slope of both lines will be the same.
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.