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Which of the following equations represe...


Which of the following equations represents the line shown in the graph?

A

`y=6x+(1)/(4)`

B

`y=(x)/(4)+6`

C

`y=4x+6`

D

`y=6x+4`

Text Solution

Verified by Experts

The correct Answer is:
B
Difficult: Easy
Category: Heart of Algebra/ linear equations
Strategic Advice : When asked to match a graph to an equation, always start by examining the answer choices. Here, the equations are written in slope-intercept from `(y=mx+b)`, so find the slope of the line and its y-intercept and match them to m and b in the correct equation.
Getting to the Answer: The line crosses the vertical axis at `(0, 6)`, making the y-intercept of the line 6, which means you can immediately eliminate A and D. To find the slope of the line, ypu can count the rise and the run from the y-intercept on the next point that lands on the intersection of two grid-lines, `(4, 7)`, or you can use the slope formula. Either way, you'll find that the slope is `(1)/(4)`, which makes (B) the correct answer.
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Knowledge Check

  • Which of the following inequalities represents the graph shown below on the real number line ?

    A
    `0 lt x lt 5`
    B
    `0 lt x le 4`
    C
    `-2 lt x le 4`
    D
    `1 le x le 4`

  • Which of the following equations represents a line that is parallel to the line with equation y = -3x + 4 ?

    A
    ` 6x + 2y = 15 `
    B
    ` 3x - y = 7 `
    C
    ` 2x - 3y = 6 `
    D
    ` x + 3y = 1 `

  • When graphed in the standard (x, y) coordinate plane, which of the following equations does NOT represent a line?

    A
    `x = 4`
    B
    `3y = 6`
    C
    `x - y = 1`
    D
    `x^(2) + y = 5`

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