Question

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

Answer 1

First rewrite the equation in slope intercept form

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

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

$\rightarrow \sf y =\dfrac{ -2x+32}{ 8}$

$\rightarrow \sf y =\dfrac{ -2x}{ 8} + \dfrac{32}{8}$

$\rightarrow \sf y =\dfrac{ -1}{ 4}x + 4$

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: