Question

Write an equation of the line in slope-intercept form.

y=

Answer 1

`\huge\boxed{y=-(4)/(3)}`

To find the equation for a line in slope-intercept form, we need to find the slope and the y-intercept.

The y-intercept is easy to find. It's just the value of
`x` when
`y=0`. In this case, the y-intercept is
`0` since the line goes through the origin.

To find the slope, we use the slope formula, where
`(x_1, y_1)` and
`(x_2, y_2)` are two known points. In this case, we'll use the only two points we have:
`(0, 0)` and
`(-3, 4)`

`\begin{aligned}m&=(y_2-y_1)/(x_2-x_1)\\&=(4-0)/(-3-0)\\&=(4)/(-3)\\&=-(4)/(3)\end{aligned}`

Finally, we put it all together in slope-intercept form, where
`m` is the slope and
`b` is the y-intercept.

`y=mx+b\\y=-(4)/(3)x+0\\\boxed{y=-(4)/(3)}`