Witryna15 paź 2024 · One line passes through the points (-1, 4) and (2, 6); another line passes through the points (2, -3) and (8, 1). One line passes through the points (4, … Witryna26 sty 2016 · Every line contains at least 3 points. Small theorem: if b and c are distinct lines, there's a point that's on neither of them. Proof: The line b intersects c at some point Q by axiom B. Let B ≠ Q be another point of b (Axiom D), and C ≠ Q be another point of c. Consider the line d containing B and C (Axiom A).
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WitrynaA line that passes through the points (-4, 10) and (-1, 5) can be represented by the equation y = (x - 2). Which equations also represent this line? Check all that apply. y = -5/3x + 10/3 3y = -5x + 10 5x + 3y = 10 What is the constant of variation, k, of the line y = kx through (3,18) and (5,30)? 6
WitrynaC. No; one line has zero slope, the other has no slope. D. Yes; the lines are both vertical. ____ 25. Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain. A. No, their slopes are not opposite reciprocals. B. No; their slopes are not equal. C. Yes; their slopes have ... Witryna11 mar 2024 · Compute the cross product of the two obtained vectors: ( B − A) × ( C − A) = ( 9, − 18, 9). This is the normal vector of the plane, so we can divide it by 9 and get ( 1, − 2, 1). The equation of the plane is thus x − 2 y + z + k = 0. To get k, substitute any point and solve; we get k = − 6. The final equation of the plane is x − 2 y + z − 6 = 0.
Witryna8 paź 2024 · line through P (0, 5) and Q (-1, 8): slope = m = (y 2 - y 1) / (x 2 - x 1) = (8 - 5) / (-1 - 0) = 3 / -1 = -3 line through R (3, 3) and S (5, -1): slope = m = (y 2 - y 1) / (x 2 - x 1) = (-1 - 3) / (5 - 3) = -4 / 2 = -2 Parallel lines have equal slopes. Since the two lines have different slopes, they are not parallel. Upvote • 1 Downvote Witryna6 paź 2024 · The line through the points P and Q is perpendicular to the line 4x + 3y = 12. To determine the equation of the line through the points P and Q, we will use the point-slope form of the line, namely y − y0 = m(x − x0) The slope of the line through points P and Q is m = 3/4. If we use the point P (−4, −4), then (x0, y0) = ( − 4, − 4).
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Witryna10 lut 2024 · A straight line intercepts the y-axis in a point (0, b). If you choose this point – (0, b), as a point that you want to use in the point-slope form of the equation, you will get: \small y - b = m \cdot (x - 0) y−b = m ⋅(x−0), which is … portland maine hockey scheduleWitryna6 paź 2024 · The line through the points P and Q is perpendicular to the line 4x + 3y = 12. To determine the equation of the line through the points P and Q, we will use … optifast priceline pharmacyWitryna22 sty 2024 · is the line through points p (-8,-10) and q (-5, -12) perpendicular to the lines through points r (9, -6) and s (17, -5)? Explain. See answer Advertisement … optifast pros and consWitryna22 mar 2024 · Ex 11.2, 3 Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel to the line through the points (–1, –2, 1), (1, 2, 5).Two lines having direction ratios 𝑎1, b1, c1 and 𝑎2, b2, c2 are parallel if 𝒂𝟏/𝒂𝟐 = 𝒃𝟏/𝒃𝟐 = 𝒄𝟏/𝒄𝟐 Also, a line passing through (x1, y1, z1) and (x2, y2, z2) has the direction ratios (x2 − x1), (y2 − y1), (z2 − … optifast protein barsWitryna(3,-8) and (-5,2) Answer: -10/8 2. (-10,-3) and (7,2) Answer: -5,-17 3. (-7,-6) and (3,-6) Answer: 9 4. (8,2) and (8,-1) Answer: 0 undefined 7 answers Algebra/Math asked by Karen 582 views Which of the following is the correct way to name the entire figure shown? A line has 4 points. portland maine hockey gameWitryna10 mar 2024 · As we've mentioned above, all you need is two points to find the gradient, so why not be a little self-centered and choose yourself as the... well, center, that is, the point (x₁,y₁) = (0,0) on the plane. Now we're left with finding a second point, (x₂,y₂), up or down the slope. optifast meal replacement shakes reviewsWitryna2 lis 2024 · . Is the line through points P (–5, 10) and Q (–9, 2) perpendicular to the line through points R (4, 6) and S (–4, 10)? Explain. A.Yes; their slopes have product –1. … portland maine hit and run