Question

1.3 homework - linear functions
score: 0/160 answered: 0/16
question 1
find the slope of the line that goes through the points (-10,0) and (15,7).
slope, m =
enter your answer as an integer or a reduced fraction in the form a/b
question help: video

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Let \((x_1, y_1)=(-10, 0)\) and \((x_2, y_2)=(15, 7)\).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{7 - 0}{15 - (-10)} \).

Step4: Simplify numerator and denominator

Simplify numerator: \( 7 - 0 = 7 \). Simplify denominator: \( 15 - (-10)=15 + 10 = 25 \). So \( m=\frac{7}{25} \).

Answer:

\(\frac{7}{25}\)