Question

Determine whether each point appears on the line with the given slope and y−intercept. Select Yes or No for each point.

slope = −3 y−intercept = 10

Answer 1

0,10 = no is the answer

Answer 2

(0, 10) = YES

(1, 7) = YES

(2, 4) = YES

(2, -6) = NO

(1, 10) = NO

(3, 1) = YES

Explanation:

Given

slope = m = -3

y-intercept = b = 10

We know that the slope-intercept of line equation is

`y = mx+b`

where m is the slope and b is the y-intercept

substituting m = -3 and b = 10 in the slope-intercept of line equation

y = mx+b

y = -3x + 10

Thus, the equation of line is:

y = -3x + 10

Now let us check all the points to determine whether each point appears on the line with the given slope and y−intercept.

For (0, 10)

y = -3x + 10

10 = -3(0) + 10

10 = 0+10

10 = 10

True

Yes for (0, 10)

For (1, 7)

y = -3x + 10

7 = -3(1) + 10

7 = -3 +10

7 = 7

True

Yes for (1, 7)

For (2, 4)

y = -3x + 10

4 = -3(2) + 10

4 = -6 + 10

4 = 4

True

Yes for (2, 4)

For (2, -6)

y = -3x + 10

-6 = -3(2) + 10

-6 = -6 + 10

-6 = 4

False

No for (2, -6)

For (1, 10)

y = -3x + 10

10 = -3(1) + 10

10 = -3 + 10

10 = -7

False

No for (1, 10)

For (3, 1)

y = -3x + 10

1 = -3(3) + 10

1 = -9 + 10

1 = 1

True

Yes for (3, 1)

Summary:

(0, 10) = YES

(1, 7) = YES

(2, 4) = YES

(2, -6) = NO

(1, 10) = NO

(3, 1) = YES