Answer:
1. 0.7
2. -7.2
3. 1.5
Step-by-step explanation:
The slope of a line formed by an equation is how much the y changes per unit change in x, which is the same as the coeficient of the equation written in the form y = mx + c , where m and c are constants.
1. y -7 = [tex]\frac{2}{3}[/tex](x-3) ⇒ y -7 = [tex]\frac{2}{3}[/tex]x - [tex]\frac{2}{3}[/tex]×3 ⇒ y = [tex]\frac{2}{3}[/tex]x -2 + 7 ⇒ y =[tex]\frac{2}{3}[/tex]x + 5 ∴ slope = [tex]\frac{2}{3}[/tex]≈0.66≈0.7
2. 7.2x + y = -36.4 ⇒ y = -7.2x - 36.4 ∴ slope = -7.2
3. 3x - 2y + 14 = 0 ⇒ 2y = 3x +14 ⇒ y = [tex]\frac{3}{2}[/tex]x + 7 ∴ slope = [tex]\frac{3}{2}[/tex] = 1.5
