Sept. 4 Writing the equation of a line from a graph.

Multiple Choice

What is the slope of the line?

• $$-\frac{3}{2}$$

• $$-\frac{2}{3}$$

• $$\frac{3}{2}$$

• $$\frac{2}{3}$$

Multiple Choice

What is the y-intercept of this line?

• $$2$$

• $$-2$$

• $$3$$

• $$\frac{3}{2}$$

Multiple Choice

What is the equation of this line?

• $$y=\frac{4}{5\ }x+2$$

• $$y=\frac{5}{2}x-4$$

• $$y=-2x-4$$

• $$y=-\frac{5}{2}x-4$$

Multiple Choice

What is the equation of the line?

• $$y=-\frac{5}{3}x-1$$

• $$y=\frac{1}{3}x-1$$

• $$y=-\frac{1}{3}x-1$$

• $$y=\frac{2}{3}x-1$$

Drag and Drop

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The y-intercept is ​ ​

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The equation is ​ ​

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The y-intercept is ​ ​

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The equation is ​

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Multiple Choice

What is the equation of the line?

• $$y=\frac{9}{5}x-5$$

• $$y=5x+\frac{9}{5}$$

• $$y=-5x+\frac{5}{9}$$

• $$y=\frac{9}{5}x+5$$

Multiple Choice

Find the slope of the line: $$y=-\frac{2}{3}x-4$$

• $$-\frac{3}{2}$$

• $$-\frac{2}{3}$$

• $$\frac{3}{2}$$

• $$\frac{2}{3}$$

Multiple Choice

Find the slope of the line: $$y=\frac{3}{2}x+2$$

• $$-\frac{2}{3}$$

• $$\frac{2}{3}$$

• $$-\frac{3}{2}$$

• $$\frac{3}{2}$$

Match

Match the graph to the equation.

• $$y=\frac{8}{5}x-4$$

• $$y=-3x-3$$

• $$y=-2x-5$$

• $$y=-\frac{2}{5}x+5$$

• $$y=-x$$

Match

Match the graph to the equation.

• $$y=\frac{9}{2}x-4$$

• $$y=-6x-1$$

• $$y=2x+1$$

• $$y=2x-1$$

• $$y=-\frac{3}{2}x+1$$

Multiple Choice

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope = $$4$$ , y-intercept = $$-3$$

• $$y=-4x-3$$

• $$y=-3x-4$$

• $$y=4x-3$$

• $$y=-3x+4$$

Multiple Choice

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope = $$-3$$ , y-intercept = $$-2$$

• $$y=5x-3$$

• $$y=-3x-2$$

• $$y=-5x-3$$

• $$y=-2x-3$$

Multiple Choice

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope = $$-\frac{1}{5}$$ , y-intercept = $$-4$$

• $$y=x-4$$

• $$y=-\frac{1}{5}x-4$$

• $$y=\frac{1}{5}x-4$$

• $$y=-x-4$$

Multiple Choice

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope = $$1$$ , y-intercept = $$5$$

• $$y=5x+5$$

• $$y=-5x+5$$

• $$y=2x+5$$

• $$y=x+5$$

Multiple Choice

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Slope = $$\frac{5}{3}$$ , y-intercept = $$1$$

• $$y=\frac{4}{3}x+1$$

• $$y=x+\frac{4}{3}$$

• $$y=\frac{5}{3}x+1$$

• $$y=-x+\frac{4}{3}$$

Open Ended

The Algebra Regents requires you to be able to answer the following question:

"What is an equation of the line that passes through the point $$\left(4,-6\right)$$ and has a slope of $$-3$$ ?"

This question is different. How is it different from what we have been learning today?