Question

slope - intercept form that passes thro

1. (1, 4) and (6, -1)

m =
s 7 - 14 in slope - intercept form

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Here, \( (x_1, y_1)=(1, 4) \) and \( (x_2, y_2)=(6, - 1) \).

Step2: Substitute values into formula

Substitute \( y_2=-1 \), \( y_1 = 4 \), \( x_2 = 6 \), and \( x_1=1 \) into the slope formula: \( m=\frac{-1 - 4}{6 - 1} \).

Step3: Simplify the expression

Simplify the numerator and the denominator: \( -1-4=-5 \) and \( 6 - 1 = 5 \). So, \( m=\frac{-5}{5}=-1 \).

Answer:

\( m=-1 \)