Answer:
9/5 < m < 9/4
Step-by-step explanation:
The conditions are:
- The line passes through (9,4)
- x-intercept is negative
- The slope (m) is greater than its y-intercept
If we take a point like (-1,0)
Slope (m) = change in y ÷ change in x = = 9/5
This point satisfies the conditions above since;
- The line passes through points (9,0) and (-1,0)
- The x-intercept is negative i.e -1
- The y-intercept is 0 and the slope which equals 9/5 is greater than 0
From the choices given;
we can say that:
m > 9/5 and m < 9/4
And can be expressed as;
9/5 < m < 9/4