Question

Identify the slope and y-intercept of each of the following lines. Then graph each line.

8y = -2x + 32

Answer 1

• 8y=-2x+32
• 4y=-x+16
• y=-1/4x+4

Compare to slope intercept form

• slope=m=-1/4

Answer 2

First rewrite the equation in slope intercept form

slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]

`\rightarrow \sf 8y = -2x+32`

`\rightarrow \sf y =( -2x+32)/( 8)`

`\rightarrow \sf y =( -2x)/( 8) + (32)/(8)`

`\rightarrow \sf y =( -1)/( 4)x + 4`

comparing with y = mx + b

• slope: -1/4 and y-intercept: 4

x-intercept: ( then y will be 0 )

`\hookrightarrow \sf -2x + 32 = 0`

`\hookrightarrow \sf -2x = -32`

`\hookrightarrow \sf x = 16`

In order to graph the line

• plot x = 16 on the x-axis coordinate: (16, 0)

• plot y = 4 on the y-axis coordinate: (0, 4)

• Then using a scale/ruler draw a straight line through this points.

Graph: