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Which equation best represents the line? (4 points)

a
y = 1 over 3.x − 1

b
y = 3x − 1

c
y = −x + 1 over 3.

d
y = 3x + 1

Which equation best represents the line? (4 points) a y = 1 over 3.x − 1 b y = 3x-example-1
User SamBrick
by
8.2k points

1 Answer

6 votes

Answer:

The equation of the line is y = 3x - 1b

Explanation:

From the given graph

∵ The rule of the slope of the line is m =
(y2-y1)/(x2-x1)

∵ (x1, y1) and (x2, y2) are two points on the line

∵ The line passes through points (0, -1) and (1, 2)

x1 = 0 and y1 = -1

x2 = 1 and y2 = 2

→ Substitute them in the rule of the slope to find it.

∵ m =
(2--1)/(1-0) =
(2+1)/(1) =
(3)/(1)

m = 3

∵ The line intersects the y-axis at point (0, -1)

The y-intercept = -1

∵ The form of the equation of the line is y = m x + b

∵ b is the y-intercept

b = -1

→ Substitute the values of m and b in the form of the equation

∵ y = 3x + -1

y = 3x - 1

The equation of the line is y = 3x - 1

User Karq
by
8.2k points

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