Question

use these notes to help you answer the question below! (hint: this is not the answer) ex 1. what is the slope of the line that passes through the points (0,3) and (-4,-2)? (0,3)(-4,-2) positive or negative 2. right triangle 3. rise 5 run 4 4. simplify in desmos slope is 5/4 what is the slope of the line that passes through (-2,5) and (3,9)? 0 - 4/5 0 4/5 0 1 0 - 1

Explanation:

Step1: Recall the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are two points on the line. Let \((x_1,y_1)=(-2,5)\) and \((x_2,y_2)=(3,9)\).

Step2: Substitute the values into the formula

Substitute \(x_1=-2,y_1 = 5,x_2=3,y_2=9\) into \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Then \(m=\frac{9 - 5}{3-(-2)}\).

Step3: Simplify the numerator and denominator

Simplify the numerator: \(9 - 5=4\). Simplify the denominator: \(3-(-2)=3 + 2=5\). So \(m=\frac{4}{5}\).

Answer:

\(\frac{4}{5}\)