Question

Which equation below is not an equation that represents the graph shown below?
line through the points 0 comma 1 and 1 comma negative 2


Choose one answer.

a. y + 2 = -3(x - 1)
b. 3x + y =1
c. y - 1 = -3(x + 2)

Answer 1

d. y = -3x + 1

Answer 2

slope = (y2 - y1) / (x2 - x1)
(0,1) x1 = 0 and y1 = 1
(1,-2) x2 = 1 and y2 = -2
sub
slope(m) = (-2-1) / (1 - 0)
slope (m) = -3/1 which is -3

y = mx + b
slope(m) = -3
(1.-2) x = 1 and y = -2
-2 = -3(1) + b
-2 = -3 + b
-2 + 3 = b
1 = b

y = -3x + 1(correct) and 3x + y = 1 (correct)

y - y1 = m(x - x1)
(1,-2) x1 = 1 and y1 = -2
slope = -3
sub
y - (-2) = -3(x - 1)
y + 2 = -3(x - 1) (correct)

your answer is C

Answer 3

Thank you ! Can you help me with this one i have a hard time understing it :[[ Choose the slope-intercept equation of the line that passes through the point (6, 4) and is parallel to y = one thirdx - 3.


Choose one answer.

a. y = 3x - 14
b. y = one thirdx + 2
c. y = -3x + 22
d. y = -one thirdx + 8

Answer 4

y = 1/3x - 3
slope is 1/3.
A parallel line will have the same slope.

y - y1 = m(x - x1)
y - 4 = 1/3(x - 6)
y - 4 = 1/3x - 1/2
y = 1/3x - 1/2 + 4
y = 1/3x - 1/2 + 8/2
y = 1/3x + 7/2 ===> answer

my answer does not match your answer choices
However, the only answer choice that comes close is B, because it has the same slope.