Question

Select the two statements that are true about the equation −5=12(−4) y - 5 = 12 ( x - 4 ) . CLEAR CHECK The slope of the line is 5 5 . The slope of the line is 12 12 . One point on the line is (4, 5) ( 4 , 5 ) . One point on the line is (5, 12) ( 5 , 12 ) .

Answer 1

The correct option are option (b) and (c)

(b)The slope of the line is 12.

(c) One point on the line is(4,5).

Explanation:

• The equation of line which passes though the points (x₁,y₁) and (x₂,y₂) is
  `(y-y_1)=(y_1-y_2)/(x_1-x_2)(x-x_1)` or,
  `(y-y_2)=(y_1-y_2)/(x_1-x_2)(x-x_2)` .....(1)

• The slope of a line which passes though the points (x₁,y₁) and (x₂,y₂) is
  `m=(y_2-y_1)/(x_2-x_1)`

• The equation of the line which passes trough a point (x₁,y₁) with slope m is
  `(y-y_1)=m(x-x_1)`....(2)

Given that,

The equation of line is

y-5=12(x-4)

Comparing the line with the equation (2)

The slope of the line is 12.

The line passes trough the point (4,5)