Slopes and Graphing Lines

Slope intercept form is written as y = mx + b, where the m indicates the slope of a line and the b indicates the y-intercept or where the line goes through the y-axis. The x-axis is always horizontal and the y-axis is always vertical.

When and equation is not written in the form y = mx + b, it needs to be rewritten in this form using basic algebra rules.

Example:

3x + 2y = 10 -3x -3x 2y = -3x + 10 2 2 y = -3/2x + 5

 

y = -3/2 x + 5 So the slope is -3/2 and it goes thought the y-axis at 5.

 

Write the equation in slope-intercept form. 

4x + 5y = 35  a. y = 4/5x + 7  b. y = -4/5x + 7  c. y = -45x + 7  d. y = -4/5x + 35  e. y = 8x + 7	15x + 8y = 56  a. y = -15/8x + 7  b. y = 8x + 7  c. y = -15/8x + 56  d. y = -15x + 7  e. y = 7x + 7
3x - 5y = 40  a. y = -5x + 5  b. y = 3x - 40  c. y = 5x + 8  d. y = 3/5x -8  e. y = -3/5x -8	3x - 4y = -20  a. y = 3/4x - 5  b. y = 3/4x + 5  c. y = -3/4x + 5  d. y = 4x + 5  e. y = 3x - 5
5x + 8y = 22  a. y = -5/8x -11/4  b. y = -8x + 22  c. y = -5/8x + 11/4  d. y = -8/5x + 4  e. y = -2/3x + 4/11

Find the slope of each line. 

3x + 2y = -10  a. 5  b. -3/4  c. 2/3  d. -3  e. -3/2	y = 4  a. 8  b. -4  c. 4  d. 1  e. 0
x - 4y =20  a. 4  b. 1/4  c. -1/4  d. 1  e. -4	9x - y = 4  a. 9  b. -9  c. 4  d. 9/4  e. 4/9
x = 1  a. 1  b. 0  c. undefined  d. -1  e. 1/2	5x + y = 3  a. 3/5  b. -3  c. 3  d. -5  e. 5

 

 

 

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