Question

Write an equation of the line in slope-intercept form. The points are (0,1) and (2,-5)

Answer 1

Your answer is y = -3x + 1

To find the equation of the line we need both the slope and where it intercepts the y-axis. We are given where it intercepts the y-axis because they tell us it goes through the point (0, 1) and this is a point where x = 0, so it must be on the y-axis.

The equation for finding the slope of a line given two points is
`(y_(2)-y_(1))/(x_(2)-x_(1))` where
`(x_(1),y_(1))` and
`(x_(2),y_(2))` are points on the line. Using this, we can substitute in the points we're given and get:

(-5 - 1)/(2 - 0) = -6/2 = -3

Therefore our slope is -3 and our intercept is 1, so the final answer is y = -3x + 1

I hope this helps!