Hello!
To find the equation of the line with a y-intercept of (0, -3) and a x-intercept of (-4.5, 0), we need to use the slope formula.
The slope formula is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
With that, we substitute the given ordered pairs into the formula, and solve.
[tex]\frac{0 - (-3)}{-4.5 - 0} = \frac{3}{-4.5} =\frac{3}{-\frac{9}{2} } = -\frac{2}{3}[/tex]
The slope of this line is -2/3 or -0.667 repeated (doesn't specify).
Therefore, the equation of the line is y = -2/3x - 3. (I also included the graph!) :-)
