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What is the difference between a line with a slope of zero and no slope?
A line with slope of zero is horizontal. A line with no slope is vertical because slope is undefined on a vertical line.
Finding equations of lines as solutions?
find equation of the line. write equation in slope intercept form. (5,5) parallel line (3,13) and (12,13)
If the slope of the green line is -3 what is the slope of the red line?
The lines below are perpendicular. If the slope of the green line is -1, what is the slope of the red line?
What is the relationship between slope and a perpendicular line?
If a line has a slope m then a line perpendicular to it has a slope -1/m ( negative inverse). For example if a line has slope positive 2, its perpendicular has slope -1/2
The slope of line a is 3 what is the slope of a line perpendicular to a?
To find the slope of a perpendicular line, take the negative reciprocal of the slope of the given line. (Flip the top and bottom of the fraction and change the sign.) The slope of 3 can be written as 3/1. The slope of a line that is perpendicular is -1/3.
What are the slope and yintercept of line 5x 10y 15?
Without the inclusion of an equality sign and not knowing the plus or minus values of the given terms it can't be considered to be a straight line equation
How do you write an equation of a line that passes through the xintercep and yintercept?
You can write it either in standard form (ax + by = c) or in slope-intercept form (y = mx + b)
How many solutions are ther for slope lines have?
The slope of a line on a graph can be zero, or any positive or negative real whole number or fraction or decimal.
How do you interpret the solution of a system of equations by the corresponding graph?
The solution of a system of equations corresponds to the point where the graphs of the equations intersect. If the equations have one unique point of intersection, that point represents the solution of the system. If the graphs are parallel and do not intersect, the system has no solution. If the graphs overlap and coincide, the system has infinitely many solutions.
The graph of a system of equations with the same slope will have no solutions?
That's right. If a system of equations has a solution, then their graphs intersect, and the point where they intersect is the solution, because it's the point that satisfies each equation in the system. Straight-line graphs with the same slope are parallel lines, and they never intersect, which is another way of saying they have no solution.
What would the equation of a line be if it went through the point 2 comma 2 and its yintercept was 10?
We know that the line passes through points (2, 2) and (0, 10) (since the y-intercept is 10).Using these two points, we can find the slope of the line,m = (10 - 2)/(0 - 2) = 8/-2 = 4/-1 = -4.Now by using the slope, m = -4, and the y-intercept, 10, we can write the equation of the line in the slope-intercept form, y = mx + b which isy = -4x + 10.
How many solution does a system of equation with lines of same slope and y-intercept have?
Two lines with the same slope and y-intercept look like one single line. The "system" of equations consists of the same equation twice. The lines coincide at every point, which means there are an infinite number of solutions.
How many solutions does the system 2x plus y equals 3 and 6x equals 9-3x have?
2x+y=3 is a line that has a -2 slope and 6x=9-3x is a vertical line. They will cross at one place. That is (1,2)
What is the equation in slope-intercept form of the line that has a slope of 5 and y-intercept of -3?
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What is the difference between a line with a slope of zero and no slope?
A line with slope of zero is horizontal. A line with no slope is vertical because slope is undefined on a vertical line.
What is the slope of a line perpendicular to a line whose slope is 3?
Slope of a line = m slope of perpendicular line = -1/m
If the graphs of two linear equations in a system have the same slope the system has what kind of solution?
If they have the same slope, then there are two possibilities. First say they have the same slope and different y intercepts. This means they are parallel lines and there is no intersection. The solution is the empty set or we say there is no solution.If the y intercept is the same, then the two equations represent the same line. In this case there is an infinite number of solutions.
