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Find the slope of the line that passes through each pair of points. (5, 8) & (-3, 7?
To find the slope of the line passing through two points (x1, y1) and (x2, y2), you use the formula: slope = (y2 - y1) / (x2 - x1). In this case, the points are (5, 8) and (-3, 7). Plugging the values into the formula, we get slope = (7 - 8) / (-3 - 5) = -1 / -8 = 1/8. Therefore, the slope of the line passing through the points (5, 8) and (-3, 7) is 1/8.
What is the equation in slope intercept form of a line that passes through points 4 and 1 and 5 and negative 1?
Find the slope of these points. (4,1) and (5,-1) m(slope) = Y2 - Y1/X2 - X1 m = -1 - 1/5 - 4 = -2/1 or - 2 Now I prefer to use one set of nice points and this formula, the point slope formula. Use (4,1) Y - Y1 = m(X - X1) Y - 1 = - 2(X - 4) distribute the slope Y - 1 = - 2X + 8 add 1 to each side Y = - 2X + 9 -----------------the equation
What type of lines pass through points 2 5 8 7 and -3 1 -2 -2 on a grid?
Points: (2, 5) and (8, 7) slope = 1/3Points: (-3, 1) and (-2, -2) slope = -3The lines are perpendicular to each other
Write in slope-intercept form the equation of the line through each pair of points 22 0 0 and -2 3?
We want a line that passes through the points (22,0) and (-2,3)The general formula for a line is y = mx +bWhere M is our slope, and B is the y-intercept.We don't know either, so we have to use the points given to figure out 1) the slope 2) the y intercept.You can find slope by using the slope formuladifference in y's divided by the difference in x's(22,0) is (x,y) and (-2,3) is also (x,y)(0 - 3)/(22 - (-2))-3/24 = -1/8Our slope is -1/8.Now we plug m = -1/8 into the general formula y = mx +b.We also pick ONE set of points, and plug that in for x and y. (it's easier to pick smaller numbers)y = mx + b3 = (-1/8)(-2) + bNow we solve for b.3 = 1/4 + b3 - 1/4 = b12/4 - 1/4 = b (I changed 3 to a fraction to work with -1/4)11/4 = b(or 2 and 3/4)Now we know both the slope, m = -1/8 and the y-intercept, b = 11/4.We just put these into the general form of a line and we have our equation.y = mx + by = -1/8x +11/4
What is the slope of the line that contains the points (-12) and (43)?
You need two numbers to specify each point.To actually calculate the slope, divide (difference in y-coordinates) by (difference in x-coordinates).If you mean: (-1, 2) and (4, 3) then it is 1/5
Find the slope of the line that passes through each pair of points. (5, 8) & (-3, 7?
To find the slope of the line passing through two points (x1, y1) and (x2, y2), you use the formula: slope = (y2 - y1) / (x2 - x1). In this case, the points are (5, 8) and (-3, 7). Plugging the values into the formula, we get slope = (7 - 8) / (-3 - 5) = -1 / -8 = 1/8. Therefore, the slope of the line passing through the points (5, 8) and (-3, 7) is 1/8.
What is the slope of the equation through points -1-4?
Two sets of points are needed to determine the slope of a line
Does a slope of 2 equal 2 units?
Let's see this by an example. Find the slope m of the line that passes through the points (-3, 2) and (-2, 4). Definition of slope: The slope of the line that passes through distinct points (x1, y1) and (x2, y2) is Change in y/Change in x = Rise/ Run = (y2 - y1)/(x2 - x1) where x2 - x1 is different than 0. Solution: Let (x1, y1) = (-3, 2) and (x2, y2) = ( -2, 4). The slope is: m = (y2 - y1)/(x2 - x1) = (4 - 2)/[-2 - (-3)] = 2/1 = 2 The slope of the line is 2, indicating that there is a vertical change, a rise, of 2 units for each horizontal change, a run, of 1 unit. The slope is positive, and the line rises from left to right.
What is the equation in slope intercept form of a line that passes through points 4 and 1 and 5 and negative 1?
Find the slope of these points. (4,1) and (5,-1) m(slope) = Y2 - Y1/X2 - X1 m = -1 - 1/5 - 4 = -2/1 or - 2 Now I prefer to use one set of nice points and this formula, the point slope formula. Use (4,1) Y - Y1 = m(X - X1) Y - 1 = - 2(X - 4) distribute the slope Y - 1 = - 2X + 8 add 1 to each side Y = - 2X + 9 -----------------the equation
Can each plane be uniquely defined by three points?
Yes, a plane can be uniquely defined by three points as long as the three points are not colinear. (Three points are colinear if there is a straight line that passes through all three points.)
How many lines of symmetry does the regular octagon have?
It has 8. Each passes through the centre. Four pass through vertices, four pass through the mid-points of opposite sides
How many lines of symmetry are in a regular octagon?
It has 8. Each passes through the centre. Four pass through vertices, four pass through the mid-points of opposite sides
What type of lines pass through points 4 -6 2 -3 and 6 5 3 3 on a grid?
Points: (4, -6) and (2, -3) so slope is -3/2 Points: (6, 5) and (3, 3) so slope is 2/3 The lines are perpendicular to each other
How many possible lines of symmetry does a regular octagon have?
It has 8. Each passes through the centre. Four pass through vertices, four pass through the mid-points of opposite sides.
What type of lines pass through points 2 5 8 7 and -3 1 -2 -2 on a grid?
Points: (2, 5) and (8, 7) slope = 1/3Points: (-3, 1) and (-2, -2) slope = -3The lines are perpendicular to each other
Find the slope of the line through the points -13 and 17?
There is not enough information to answer this question. As currently written, a geometric point with only one variable is operating only on the x-axis (one dimensional). Asking the slope between two points that only exist on the x-axis is automatically zero. Slope is normally calculated using points on a two-dimesional grid with each point being represented by (x,y). To calculate the slope in this case you take the change in y divided by the change in x. Example: Find the slope of the line through the points (-13,4) and (17,14). Slope = Change in Y/Change in X = (-13-17)/(4-14) = -30/-10 = 3
Which type of lines pass through 1 2 9 9 and 12 11 4 4 on a grid?
Parallel. So you have two couples of points and each of them determine a line. L1 passes through (1,2) and (9, 9). m1 = (9-2)/(9-1) =7/8 L2 passes through (12.11) and (4,4). m2 = (11-4)/(12-4) = 7/8 Since both lines have the same slope, they are parallel.
