Note: With Steps Question 13.Using the fact that the gradient of a line is constant, find the equation of a line passing through the points (4,9) and (8,12) in the forms:(a) Ax + By +C = 0, where A > 0 and A, B,C are integers, and A, B, C have no common factors. Enter your values in the boxes below:A =B =C =(b) y= ma + c, where m and c are fractions in their lowest form. Enter your values in the boxes below:m =C =

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Answered: through the points (4,9) and (8,12) in…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 2E

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FInd the equation of a linw whose gradient is 3/2 and which passes through the point P,where P drives the join of A(-2,6) and B(3,-4) in ration 2:3
QUESTION 1 (a) Discuss or Outline clearly how you intend to solve question 1(b) below. (b)By applying the elimination method, solve the following pair of simultaneous equations: x-y=2 x + 3y = 1.5 (c)Determine : (i) the intercepts on the x and y axes with each of the equations given in 1(b). (ii) the slope -intercept form of each of the equations in 1(b). (iii) the gradient of each of the equations in 1(b). (d) Graph the equations given in 1(b) on the same x - y plane and indicate clearly their point of intersection. How do you relate the point of intersection to your answers obtained in 1(b). (e) Determine whether the following equations have no solution (inconsistent system), a unique solution or infinitely many solutions. i. +y = 3, x + y = 4 ii. -5x + 3 + 2x = 7x - 8 + 9x iii. (3x + 4) + (5x – 8) = (5x – 4) + (3x+8) iv. (3x + 4) + (5x – 8) = (5x + 4) + (3x – 8)
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through the points (4,9) and (8,12) in the forms: ommon factors. Enter your values in the boxes below: