Question

what is an equation for the line that passes through the coordinates (2,0) and (0,3)?
(1) y=-3/2x+3
(2) y=-3/2x-3
(3) y=-2/3x+2
(4) y=-2/3x-2

explain the steps too please. :)

Answer 1

In-order to get the equation of a line you need 2 points. This fact will remain true for the rest of your life (when you get to higher levels of math) all you need is 2 points.

A point is usually referred to as X1, Y1.

The slope of a line is (Y2-Y1)/(X2-X1)

STEP #1: Insert points into slope equation.

Point 1: X1,Y1 = (2,0)
Point 2: X2,Y2 = (0,3)
Slope = 3-0 / 0-2 = 3/2

STEP #2: Once you have the slope, solve for B in the equation of a line [y=ax + b where a = the slope and b = y-intercept]

..
Y = ax + b
we know the slope is 3/2
so
Y = 3/2x + b
we know 2 points, so you can plug any of them in to solve for b
Let's use 2,0

0 = 3/2 (2) + b
0 = 3 + b
b= -3

Solution: Y= AX + B ..
Y = 3/2X -3
(2)

good luck..

Answer 2

thanks. :)