Graph Equation of Line

What is the equation of the line?

• y = -3/4x + 3

• y = 4/5x + 3

• y = -4/5x + 3

• y = -4/5x

Answer explanation

The correct equation of the line is y = -4/5x + 3. This represents a line with a slope of -4/5 and a y-intercept of 3, which matches the characteristics of the given options.

Give the equation for the graph in slope-intercept form.

• y = 5x - 3

• y = 4x + 2

• y = -2x + 5

• y = -2x + 4

Answer explanation

The correct equation is y = -2x + 4, which has a slope of -2 and a y-intercept of 4. This matches the characteristics of the graph, making it the right choice among the options provided.

Write the equation of the line in slope intercept form.

Answer explanation

The correct equation in slope-intercept form is y=\frac{1}{3}x-2, where the slope is \frac{1}{3} and the y-intercept is -2. This matches the second answer choice.

Write the equation of the line in slope intercept form.

Answer explanation

The correct equation of the line in slope-intercept form is y=-\frac{3}{2}x+4. This indicates a slope of -\frac{3}{2} and a y-intercept of 4, which matches the choice provided.

• -3/4

• 3/4

• -7

• 7

What type of slope?

• undefined

• positive slope

• negative slope

• zero slope

Answer explanation

A zero slope indicates a horizontal line where the y-value remains constant regardless of the x-value. This means there is no rise over run, confirming the correct choice is zero slope.

Which of the following equations has a slope of 1/2?

• y = -1/2x + 1

• y = 1/2x - 1

• y = 2x + 1

• y = -2x - 1

Which graph represents the equation:

y = 2x + 2

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Identify the slope-intercept equation:

• y = 2x - 2

• y = -2x + 2

• y = -2x + 4

• y = 2x + 4

Write an equation for the line shown by counting the slope and identifying the y-intercept.

• y = -2x + 2

• y = 2x + 2

• y = 1/2x- 2

• y = -1/2x + 2