The correct option is (d).
d) (2,-6) & (4,-16)
Now, To find the correct option that is equivalent to this equation, we can begin by narrowing down the given options.
Since, The slope contains a negative number, that's mean the second point must have a lower y value than the first x value.
Hence, By using this criteria, we can eliminate the first and the third option.
Now, we can check the second and fourth option as;
We can test using by putting in values.
Let's plug in the point values to check whether they work:
Hence, For option 2:
y = -5x + 4
-24 = -5(4) + 4
-24 = -20 + 4
-24 ≠ -16
And, For option 4:
y = -5x + 4
-16 = -5(4) + 4
-16 = -20 + 4
-16 = -16
Therefore, The correct option is option (d).
The complete question is this;
Which line has an equation of y= -5x+4 in slope intercept form?
A line passing through the points -
a) (1,9) & (3,19)
b) (2,-14) & (4,-24)
c) (1,1) & (3,11)
d) (2,-6) & (4,-16)