Point-Slope Form and Equations of Lines Example 1: Find the equation of a line in standard form that passes through point A(4,-5) and has slope -(1)/(4) What is your strotegy?

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Answer 1

## Step 1: Point-Slope Form### We start by plugging the given point

and slope

into the point-slope form equation:

. This gives us

, which simplifies to

.## Step 2: Simplify the Equation### Distribute the

on the right side:

.## Step 3: Convert to Standard Form### Standard form is

, where

,

, and

are integers, and

is non-negative. Add

to both sides:

. Subtract 5 from both sides:

. Multiply the entire equation by 4 to eliminate the fraction:

.

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