1.If a line with a slope of -3 crosses the y-axis at (0,7), what is the equation of the line?
a. y - 3x = 7
b. y + 3x = 7
c. y = -3(x + 7)
d. y = -3x - 7
2. Find the slope and the y-intercept of the equation y + 9(x+3) = 0
a. Slope: -9 y-intercept: (0,-3)
b. Slope: 9 y-intercept: (0,-3)
c. Slope: 9 y-intercept: (0,27)
d. Slope: -9 y-intercept: (0,-27)
3. Given a line with a slope of -11 and going through the point (-5,7), provide an equation in point-slope form.
a. y + 7 = 11(x + 5)
b. y - 7 = 11(x - 5)
c. y - 7 = -11(x + 5)
d. y + 7 = -11(x - 5)
4. What is the point-intercept form of the equation of a line that passes through point (2,-8) with a slope of -4?
a. y = -4x
b. y = 4x - 16
c. y = 4x
d. y = -4x + 16

Respuesta :

y = mx + b    "m" is the slope, "b" is the y-intercept (the y value when x = 0)


1. slope: -3

y-intercept: 7

y = -3x + 7

Your answer is B

y + 3x = 7   Subtract 3x on both sides

y = -3x + 7


2. y + 9(x + 3) = 0     Multiply/distribute 9 into (x + 3)

y + 9x + 27 = 0      Subtract 9x and 27 on both sides to get "y" by itself

y = -9x - 27

slope: -9

y-intercept: -27 or (0,-27)

Your answer is D


3. Point-slope form:   y - y₁ = m(x - x₁)

slope: -11

(x₁ , y₁) = (-5, 7)


y - 7 = -11(x - (-5))  The two negative signs becomes a positive

y - 7 = -11(x + 5)

Your answer is C


4. For this question, I think you get it from point-slope form to slope-intercept form (I'm not sure, but you still get the same answer if you just do slope-intercept form)

slope: -4

(x₁ , y₁) = (2, -8)


y - y₁ = m(x - x₁)

y - (-8) = -4(x - 2)

y + 8 = -4(x - 2)     Multiply/distribute -4 into (x - 2)

y + 8 = -4x + 8       Subtract 8 on both sides to get "y" by itself

y = -4x

Your answer is A

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