Question

A line has a slope of -6. Which of the following could describe two points on the line?

Group of answer choices

(-3, 33) and (4, -9)

(-2, 28) and (0, 15)

(-5, 45) and (-6, 50)

None of the above

Answer 1

$\huge{\boxed{\underline{\underline{\mathbb{\red{SolUtion}}}}}}$

Given that :-

Slope of a line ( m ) = -6

Now we are given 3 pairs of points and we have to find which pair's line have the slope as -6

Taking the points (-3,33) and (4,-9 )

As we know that when we are given two points of a straight line then in order to find its slope we apply the formula :-

$slope \: (m) = \frac{y - y1}{x -x1 }$

Here y = -9 , y1 = 33 , X= 4 , x1 = -3

$> \frac{ - 9 - 33}{4 + 3}$

$> \frac{ - 42}{7}$

$> - 6$

Hence Option 1st is the correct answer