Since, the line touches the y-axis in the center of the line between the points (0,2) and (0,4),
The y-intercept of the line as a coordinate point is (0,) or (0,3).
y-intercept =(0,3).
5 of 26 (0 complete) This Question: 2 pts 10- Find the slope and y-intercept of the line whose graph is shown to the right. Then use these to write an equation of the line. 8 4 2- Slope =0 (Simplify your answer. Type an integer or a fraction.) y-intercept = 0 (Type an ordered pair.) The equation of the line is -12-10-8-6-4 -22 2 4 6 8 10 12 -4 -6- Enter your answer in each of the answer...
5. The vertices of a parallelogram are the origin and points A(-1, 4), B(3, 6), and C(7, 2). Write the vector equations of the lines that make up the sides of the parallelogram. [A/C-4) 6. A line has the same x-intercept as (x, y, z) = (-21, 8, 14] + t[-12, 4, 7] and the same y-intercept as (x, y, z) = [6,-8, 12] + s[2, -5, 4]. Write the parametric equations of the line. Justify your answer. [T/C-3]
(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and is parallel to the vector (-1, 3, -4) x+ 4-Y+ 2 3 z-6 -4 -(x +4) 3(y 2)-4(z +6). y+2 z-6 3 -(x-4) 3(y +2) -4(z- 6). o4-2-116 = Y - 2-z+6 3 (b) Find the points in which the required line in part (a) intersects the coordinate planes. 5 ,5,0 x ) point of intersection with xy-plane 10 7 point of intersection with...
Several points are plotted on the coordinate plane below. y 10 VO 8 2 6 4 R 10 O 10 9 3 2 P o 10 What are the coordinates of point P? Select one: OA.(-6,-4) OB.(-6,4) O C. (6,-4) OD 6,4)
Problem 4: (a) (5 points) Find the equation for the line that passes through the points (-4,-2) and (8, 1). Write your equation in se form, slope-intercept form, or point- slope form. (Extra Credit: Write the equation for the line in all three forms) (b) (5 points) Graph the line. Problem 5: (10 points) Find the equation for the line passing through the point (3.2) and perpendicular to the line y = ',x + 7. The the line Problem 6:...
leverents Course Help Hw20-3.7-Optimization: Problem 6 Problem Value: 1 point(s). Problem Score: 0%. Attempts Remaining: 8 attempts. Help Entering Answers (1 point) Find the point on the line 3x + y + 2 = 0 which is closest to the point (2,-4). Answer: 1 Σ Note: Your answer should be a point in form (x-coordinate, y-coordinate) Important: On quizzes / exams you will be expected to use the techniques of MTH 132 to justify that you have found the point...
UZ. Onune quiz #4 Time Remaining:00 This Question: 1 pt 2 of 6 (0 complete) This Find an equation of the line tangent to the curve at the point corresponding to the given value of t x=8²-2, y =q² + 2t, t=2 Type an equation. Simplify your answer. Type your answer in slope-intercept form. Type an exact answer. Use integers or fractions for any numb
Graph the line passing through (4, 6) whose slope is m = Provide your answer below: QUESTION 15 · 1 POINT Find the x- and y-intercepts of x – 2y = –2. Provide your answer below: x-intercept: ( DD), y-intercept: ( 00. P FEEDBACK
12 10 4 2 4 6 8 10 12 14 16 18 20 All units are centimeters. The object above has uniform density but has a circular void of diameter 5 cm. (a) Find the x-coordinate of the center of mass. (b) Find the y -coordinate of the center of mass. You must show all steps in detail and explain carefuly how you found the center of mass (like you are explaining this to a high school student). (points will...
Find the domain & range of h. totho 9 8 7 2 + V 10-9-8-7-6-54-3-2-4 6 7 8 9 2 -3 4 : -5 -6 -7 -8 0+ Domain = Write your answer in interval notation. Range = Write your answer in interval notation. h is decreasing on the interval(s) h has a local maximum of that occurs at