write an equation in slope intercept, point slope, or standard form for the line with given information. Slope 2, y-intercept -4 Solution slope intercept form equation is y = mx + b point slope is ( y - y1) = m ( x - x1) standard form Ax + Bx = c y = mx + b b is y-intercept which is -4 slope is m which is 2 so plug that into y = mx + b.

1. Write an equation in standard form that represents a line that passes through the origin and is
parallel to the line that passes through
Solution
Slope = (y2 - y1) / (x2 - x1)
= (-6 + 5) / (8 - 2)
= -1 / 6
y = -1/6 x + C
Passes through origin.
0 = 0+ C
=> C = 0
y = -1/6 x
x + 6y = 0