Question

slope it two ways
date:
m = ys - y / x2 - x1
e slope of the two points both graphically and by using the slope formula (y2 - y1)/(x2 - x1)
graphically\ttwo points\tslope formula
graph of points a(2,4) and b(3,2)
a = (2, 4)
b = (3, 2)
m = (2 - 4)/(3 - 2) (2/1)
graph of points c(-2,0) and d(0,4)
c = (-2, 0)
d = (0, 4)
(4 - 0)/(0 + 2) = 4/2 = 2/1
graph of points e(-1,-3) and f(2,3)
e = (-1, -3)
f = (2, 3)
graph of points g(5,-4) and h(-3,0)
g = (5, -4)
h = (-3, 0)
graph of points i(-4,2) and j(2,2)
i = (-4, 2)
j = (2, 2)
m = (2 - 2)/(2 - (-4)) = 0/6
zero

Explanation:

Step1: Identify the formula

The slope formula between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). For points \(E = (-1, -3)\) and \(F=(2, 3)\), we have \(x_1=-1\), \(y_1 = - 3\), \(x_2=2\), \(y_2=3\).

Step2: Substitute into the formula

Substitute the values into the slope formula: \(m=\frac{3-(-3)}{2-(-1)}\).

Step3: Simplify the numerator and denominator

Simplify the numerator: \(3 - (-3)=3 + 3=6\). Simplify the denominator: \(2-(-1)=2 + 1 = 3\).

Step4: Calculate the slope

Now, \(m=\frac{6}{3}=2\).

Answer:

The slope of the line passing through points \(E(-1, - 3)\) and \(F(2, 3)\) is \(2\).