In the coordinate plane, O is the origin. A is a point on the y-axis, and B is is a point on the x-axis. The slope of AB is 2 and its y-intercept is 8. What is the line equation for AB?

1 Answer
Aug 10, 2017

Answer:

#y = 2x + 8#

Explanation:

Utilise the point-gradient formula to find the equation of the line. Since the y-intercept is 8, that point is #(0, 8)#. The slope is defined as the 'gradient' or the #m# value. Therefore, #m=2#. We can substitute in these values.

#y - y_1 = m(x-x_1)#

#y - 8 = 2(x - 0)#

#y - 8 = 2x#

#y = 2x + 8#