Question

What is the equation of the graph below?

1. y=-3/2+3

2. y 3/2+3

3. y 3x +4

4. y=2x-3

Answer 1

1. y = -3/2x +3

Explanation:

You want the equation of the graph shown with x-intercept (2, 0) and y-intercept (0, 3).

Intercept form

The intercept form of the equation of a line is ...

x/a +y/b = 1

where 'a' is the x-intercept and 'b' is the y-intercept.

For the given intercepts, the equation is ...

x/2 +y/3 = 1

Slope-intercept form

Solving for y, we find ...

y/3 = -x/2 +1 . . . . . . . subtract x/2

y = -3/2x +3 . . . . . . . multiply by 3

The equation of the line is y = -3/2x +3, choice 1.

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