Question

Which line has an equation of y=-5x+4 in slope-intercept form?

-a line passing through the points (1,9) and (3, 19)
-a line passing through the points (2, -14) and (4, -24)
-a line passing through the points (1, 1) and (3, 11)
-a line passing through the points (2, -6) and (4, -16)

Answer 1

Answer: it’s D the last one

Explanation:

Answer 2

Last choice.

Explanation:

To find the option that is equivalent to this equation, we can begin by narrowing down our options. The slope contains a negative number, meaning the second point must have a lower y value than the first.

Using this criteria, we can eliminate the first and the third answer. Now, we can test the second and fourth answer.

We can test using the slope formula and plugging in values. When the slope formula:
`m= (y_(2)-y_(1) )/(x_(2) -x_(1) )`

We get a slope of -5 for both of these equations. Let's plug in the point values to check whether they work:

Choice 2:

-24 = -5(4) + 4

-24 = -20 + 4

-24 ≠ -16

Choice 4:

-16 = -5(4) + 4

-16 = -20 + 4

-16 = -16

Therefore, choice 4 is correct!