slope
y-intercept
equations
system of equations
graphing
100

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

slope=2

100

What is the y-intercept of the line y=3x+1y=3x+1?

1

100

x+y=5

x−y=1

 x=3,y=2

100

x+y=6 x−y=0x−y=0

Solution: x=3,y=3x=3,y=3

100

y=2x+3

This is a linear equation with a slope of 2 and a y-intercept of 3. The graph will be a straight line crossing the y-axis at (0, 3) and having a slope of 2 (rise 2, run 1)

200

Find the slope of the line that has the equation: y=3x+5

The slope is the coefficient of x, which is 3.

200

What is the y-intercept of the line y=−2x+3y=−2x+3?

3

200

2x+y=7

x−y=1

x=4,y=3

200

2x+y=7 x−y=1x−y=1

Solution: x=2,y=1x=2,y=1

200

Graph the equation y=2x and find the y-coordinate when x=1

 When x=1x=1, y=2(1)=2

300

The line passes through the points (1, 2) and (3, 8). What is the slope of the line?

slope= 3

300

What is the y-intercept of the line y=x−4y=x−4?

4

300

3x+y=10

x+y=4

x=2,y=2

300

x+2y=9x+2y=9 2x−y=72x−y=7

Solution: x=3,y=3x=3,y=3

300

Graph the equation y=x+4 and find the y-coordinate when x=−1

x=−1,y=−1+4=3

400

Determine the slope of a line that is perpendicular to the line given by the equation y=-1/2x+4

The slope is -1/2

400

What is the y-intercept of the line y=−x+2y=−x+2?

2

400

x+2y=6

x−y=3

 x=5,y=2

400

x+y=4 2x−y=42x−y=4

Solution: x=2,y=2x=2,y=2

400

Graph the equation y=x+2 and find the y-coordinate when x=−2

x=−2x=−2,y=−2+2=0

500

Find the slope of the line passing through the points (2,1) and (7,6).

 slope =1

500

What is the y-intercept of the line y=0x+5y=0x+5?

5

500

x+3y=9

x−y=3

 x=6,y=3

500

3x+y=10 x−y=2x−y=2

Solution: x=3,y=1x=3,y=1

500

Graph the equation y=x+3 and find the y-coordinate when x=2

x=2x=2, y=2+3=5

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