Question

A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus 7 right-parenthesis.(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
y = y equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus StartFraction 5 Over 3 EndFraction.x +
3y = –4x + 40
4x + y = 21
4x + 3y = 5
–4x + 3y = 17

Answer 1

The required straight line is 4x + 3y = 5

Step-by-step explanation:

The line passing through the points (- 7, 11) and (8, - 9) is given by

(y - 11)/{11 - (- 9)} = {x - (- 7)}/{- 7 - (- 8)}

or, (y - 11)/(11 + 9) = - (x + 7)/(7 + 8)

or, (y - 11)/20 = - (x + 7)/15

or, (y - 11)/4 = - (x + 7)/3

or, 3 (y - 11) = - 4 (x + 7)

or, 3y - 33 = - 4x - 28

or, 4x + 3y = 33 - 28

or, 4x + 3y = 5

∴ the required straight line passing through the points (- 7, 11) and (8, - 9) is 4x + 3y = 5

Rule:

If a straight line passes through the two points (x₁, y₁) and (x₂, y₂), then its equation is given by

(y - y₁)/(y₁ - y₂) = (x - x₁)/(x₁ - x₂)

Some other geometrical problems:

• If the point R (x, y) is equidistant from two points P (- 3, 4) and Q (2, - 1). Prove that y = x + 2. - https://brainly.in/question/13073351
• Find equations of lines which contains the point A (1, 3) and the sum of whose intercepts on the co-ordinate axes is zero. - https://brainly.in/question/12733138

Answer 2

Answer:

y=-4/3x+5/3

4x+3y=5

Explanation: