There is only one straight line through two given points.
The slope of this one is [ (y2 - y1)/(x2 - x1) ] = (6-0)/(4-0) = (6/4) = 1.5
If two lines have different slopes, then they intersect at exactly one point. It makes no difference what their y-intercepts are.
Actually it IS. perpendicular lines have opposite reciprocal slopes and parallel lines have the same slope.
Slopes of line perpendicular to the x-axis are undefined.
one
They are the same.
They both have slopes of -3/5 so therefore they are parallel lines
They both have slopes of 3/5 and so it appears that they are parallel lines
If two lines have different slopes, then they intersect at exactly one point. It makes no difference what their y-intercepts are.
To find the slope, you must have at least two points, not one. You cannot find the slope at one point, because coordinate points do not have slopes - lines have slopes.
If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.
negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel
there are 6 lines can pass through 4 noncollinear points.
The slopes of parallel lines are by definition equal.
The slopes of two parallel lines will be the same.
Points: (-2, 7) and (3, 6) the slope is -1/5 Points: (4, 2) and (9, 1) the slope is -1/5 Both slopes are the same and so therefore they are parallel lines
Take any two lines and look at their slopes. -- If the slopes are equal, then the lines are parallel. -- If the product of the slopes is -1, then the lines are perpendicular.
same slopes = parallel lines