Math

QuestionFind the slope of the line through points (1,11)(-1,11) and (4,5)(4,5).

Studdy Solution

STEP 1

Assumptions1. The line passes through the points (1,11)(-1,11) and (4,5)(4,5). The slope of a line is calculated using the formulalope=yy1xx1lope = \frac{y - y1}{x - x1}where (x1,y1)(x1, y1) and (x,y)(x, y) are the coordinates of two points on the line.

STEP 2

First, we need to identify the coordinates of the two points. Let's assign (1,11)(-1,11) as (x1,y1)(x1, y1) and (4,5)(4,5) as (x2,y2)(x2, y2).

STEP 3

Now, we can plug these values into the formula for the slope.
lope=y2y1x2x1=511(1)lope = \frac{y2 - y1}{x2 - x1} = \frac{5 -11}{ - (-1)}

STEP 4

Next, simplify the numerator and denominator separately.
lope=6lope = \frac{-6}{}

STEP 5

The slope of the line that passes through the points (1,11)(-1,11) and (4,5)(4,5) is /5-/5 or 1.2-1.2.

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