SOLUTION: A direct variation equation is an equation in slope-intercept form which describes a line that passes through the origin. Suppose that the points (-45,33) and (k,253) are also on t

Algebra ->  Graphs -> SOLUTION: A direct variation equation is an equation in slope-intercept form which describes a line that passes through the origin. Suppose that the points (-45,33) and (k,253) are also on t      Log On


   

Question 1058458: A direct variation equation is an equation in slope-intercept form which describes a line that passes through the origin. Suppose that the points (-45,33) and (k,253) are also on the line. Write the equation of the line and give the value of k using the equation.


Thanks!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since you know it goes through the origin, you can calculate the slope with the given point and the origin,
m=%2833-0%29%2F%28-45-0%29=-33%2F45=-11%2F15
So using the point slope form,
y-0=-%2811%2F15%29%28x-0%29
y=-%2811%2F15%29x
So then,
253=-%2811%2F15%29k
k=-%28253%2A15%29%2F11
k=-345