Question

What is the equation of a line that passes through points (0, 4) and (-4,-8)?​

Answer 1

$\text{Hey there!}$

$\text{The slope formula is:}\dfrac{\bf{y_2\ - y_1}}{\bf{x_2\ - x_1}}$

$\bf{y_2 = -8}$

$\bf{y_1=4}$

$\bf{x_2=-4}$

$\bf{x_1=0}$

$\text{Your equation should look like this:}\dfrac{-8 \ - 4}{-4 \ - 0}$

$\text{Solve the numerator first (the top) then the denominator (the bottom) }$

$\text{-8 - 4 = -12}$

$\dfrac{-12}{-4 - 0}$

$-4 - 0=-4$

$\dfrac{-12}{-4} =\ ?$

$\dfrac{-12\div-4}{-4\div-4}=\dfrac{3\div1}{1\div1}=3$

$\boxed{\boxed{\bf{Answer: 3}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~$\frak{LoveYourselfFirst:)}$

Answer 2

Answer:

3

Step-by-step explanation:

Slope formula:

   ↓

$\frac{Y_2-Y_1}{X_2-X_1}=\frac{Rise}{Run}$

$\frac{(-8)-4}{(-4)-0}=\frac{-12}{-4}=\frac{-12\div-4}{-4\div-4}=\frac{3}{1}=3$

Therefore, the slope is 3 is the correct answer.