Explanation:
9.
the first we see when going from left to right : the line goes down, so it has a negative slope (factor of x).
then we look at the y-intercept (the point where the line crosses the y-axis) : negative y and around -5.
with all that we have eliminated B and D.
and not only does the line go down, it goes sharply down. so, the absolute value of the slope must be bigger.
therefore, C is the right answer.
and a quick check confirms, as the slope -10/3 means that for a change of x by +3 units causes y to change by -10, and that is what we are seeing on the chart.
at x = -3 it looks like y is about +5.
and at x = 0 (change by +3) it looks like y is about -5 (change by -10).
10.
the y-intercept does not give us a clue here, it is 1 for all 4 options, and the graph confirms it.
but this line goes up, so the slope is positive.
it is rather "flat" and by far not even diagonally, so the absolute value of the slope must be a small value (much smaller than 1, as a slope of 1 means "diagonally").
therefore, D is the right answer.
a quick check confirms, as the slope 1/5 means that for a change in x by +5 would lead to a change in y by +1.
and that is what we are seeking on the chart.
at x = -5 it looks like y is about 0.
at x = 0 (change by +5) it looks like y is about +1 (change by +1) - the y-intercept.