Question

Graph the following lines and write the equation in slope-intercept form. y intercept of −3 and an x intercept of −4.5.

Answer 1

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
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`.

With that, we substitute the given ordered pairs into the formula, and solve.

`(0 - (-3))/(-4.5 - 0) = (3)/(-4.5) =(3)/(-(9)/(2) ) = -(2)/(3)`

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!) :-)