Question stem understanding
In the xy-plane, if line k has negative slope and passes through the point (-5, r), is the x-intercept of line k positive?
(1) The slope of line k is -5
(2) r > 0
Don’t we always have to pass the line through (-5,r)? how is this information relevant in solving the question?
I was plotting the graph as lines with various values of “r” passing through the point (-5,r) and thus always intersecting the 3rd quadrant along with quadrant 2 and 4.
I think I have totally lost track of this one since as per my plot the x-intercept will always turn out to be negative. How to plot a line when it passes thru some point? What is the significance when they say that “line k has negative slope and passes through the point (-5, r), is the x-intercept of line k positive”. I am misunderstanding the question at it’s very stem I believe.