Question

What is the slope-intercept form of the line passing through `(-3, -5)` and `(0, 6)`?

Answer 1

The Slope intercept form of the line is `y=11/3*x+6`

Explanation:

The Slope of the line is `(y_2-y_1)/(x_2-x_1) or (6+5)/(0+3) or 11/3`
The line passes through (0,6) So the equation of the line is`y-6=11/3*(x-0) or y=11/3*x+6` Here the y-intercept is 6. We can also find the x-intercept by putting y=0 in the equation . Then `0= 11/3*x +6 or 11/3*x = -6 or x = -18/11` So x- intercept is`-18/11 [answer]` graph{11/3*x+6 [-20, 20, -10.42, 10.42]}