Question

"A line goes through the points (1, -10) and (-3, -2). Write the equation of the line in slope-intercept form, then find the x-intercept of the line. Show your work algebraically for full credit."

Answer 1

Slope

`(-10-(-2))/(1-(-3))=-2`

Equation

`y+10=-2(x-1)`

x-intercept

The x-intercept is when y=0.

`10=-2(x-1)\\\\-5=x-1\\\\x=-4`

So, the x-intercept is (-4, 0).