The graph of a linear function is shown on the grid. Which equation is best represented by this graph? Ay+ 7-3(x-4) B Y + 1 = -3(x + 2) Cy- 4 = 3(x + 7) Dy - 2 - 3(x - 1)

Question

asked May 6, 2021 202k views

2 Answers

Sporkthrower · Answer 1 · 2021-05-10T16:48:13+0000

Answer:

Option (A)

Explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Slope of the line passing through two points (0, 5) and (4, -7),

m =
(y_2-y_1)/(x_2-x_1)

=
(5+7)/(0-4)

= -3

As slope of the line is negative, Options (A) and (B) will be the possible options.

Therefore, equation of the line passing through (4, -7) will be,

y - (-7) = -3(x - 4)

y + 7 = -3(x - 4)

Therefore, Option (A) will be the correct option.