25. Determine the x- and y-intercepts. a) [x, y] = [2, –4] + t[3, –1] b) [x, y] = [-8, 11] + t[5, 2] c) [x, y] = [1, 7] + t[3, –3]

Q: Which function has a y-intercept of -2? O 3x + 2 a) fx) = 5х -1 3x + 2 O b) Ax)· 5x- 1 Oc) Ar) = 5x…

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Q: Find the slope-intercept form for each linear equation. a) Slope & intercept: m = 4 and (0 , 5) b)…

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Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: 1. The line y - 6 = 2(x + 4) passes through which point? OA (-4,-6) O B. (4, −6) Oc( 4, 6) OD (2,6)

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Q: Find the point where the two lines +s and +t intersect, if it exists

A: We need to find point where lines intersect.

Q: Mark all points that are on the line y = 5x + 8. O (2, 18) O (5, 8) O(– 2, – 3) 3 7)

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Q: 2. Sketch the line = (-4,-4) + t(6,8).

A: To sketch the line r=(-4,-4)+t(6,8)

Q: 1) Find the length of the line joining the following pairs of points: a. (1, 2), (4, 6) b. (3, 1),…

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Q: 6. A line segment has endpoints at 4(-1, -8) and B(5, -4). Which of the following are the…

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Q: Plot each pair of points. Connect the two points in each pair. a) A(3, 4) B(5,0) b) C(-3,-1) D(0, 4)…

A: The points are: (a) A(3, 4)          B(5, 0) (b) C(-3, -1)       D(0, 4) (c) E(5, -4)         F(3,…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.