Answer:
To find the slope of a line using the slope formula, you use the formula:
\[ \text{Slope} = \frac{{\text{change in y}}}{{\text{change in x}}} = \frac{{y_2 - y_1}}{{x_2 - x_1}} \]
For Question 3:
\[ \text{Slope} = \frac{{-5 - 1}}{{2 - (-4)}} = \frac{{-6}}{{6}} = -1 \]
For Question 4:
\[ \text{Slope} = \frac{{7 - (-3)}}{{-3 - 2}} = \frac{{10}}{{-5}} = -2 \]
Answer:
- 1 and - 2
Step-by-step explanation:
calculate the slope m, using the slope formula
• m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
(3)
let (x₁, y₁ ) = (- 4, 1 ) and (x₂, y₂ ) = (2, - 5 )
substitute these values into the formula for m
m = [tex]\frac{-5-1}{2-(-4)}[/tex] = [tex]\frac{-6}{2+4}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1
(4)
let (x₁, y₁ ) = (2, - 3 ) and (x₂, y₂ ) = (- 3, 7 )
substitute these values into the formula for m
m = [tex]\frac{7-(-3)}{-3-2}[/tex] = [tex]\frac{7+3}{-5}[/tex] = [tex]\frac{10}{-5}[/tex] = - 2
