SOLUTION: 1.find the slope and intercept of -4x+5y=25. 2.Find the slope of any line parallel to the line through points (12,5) and (10,4).

Question 120575: 1.find the slope and intercept of -4x+5y=25.
2.Find the slope of any line parallel to the line through points (12,5) and (10,4).
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
#1

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)

Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)

Start with the given equation

Add 4x to both sides

Simplify

Divide both sides by 5 to isolate y

Break up the fraction on the right hand side

Reduce and simplify

The original equation (standard form) is equivalent to (slope-intercept form)

The equation is in the form where is the slope and is the y intercept.

Solved by pluggable solver: Finding the slope

Slope of the line through the points (12, 5) and (10, 4)

Answer: Slope is

Remember, parallel lines have equal slopes. So any line parallel to the line through points (12,5) and (10,4) also has the slope
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