Question

What is an equation for the line that passes through the coordinates (2,0) and (0,3)

Answer 1

The equation of a line that pass through the point (x1,y1) and has a slope of m is :

• y=(-3/2)x+3

"Straight Equation"

Given:

A(2,0)

B(0,3)

• Slope=(y2-y1)/(x2-x1)
• slope=(3-0)/(0-2)=3/-2=-3/2
• slope=-3/2

let's do (2,0)

• x1=2
• y1=0
• m=slope=-3/2

Equation:

• y-y1=m(x-x1)
• y-0=-3/2(x-2)
• y=-3/2(x-2)
• y=(-3/2)x+3

The equation of a line that pass through the point (x1,y1) and has a slope of m is y=(-3/2)x+3.

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