How do you graph the line #y = -4x + 4#?

2 Answers
Daniel L.
Jul 23, 2017

See explanation.

Explanation:

To graph a line given as #y=ax+b# you can substitute 2 different values for #x# to calculate the corresponding values of #y#.

#f(0)=-4*0+4=4#

#f(1)=-4*1+4=0#

Final step is to draw a line passing through the calculated points: #(0,4)# and #(1,0)#.

graph{-4x+4 [-10, 10, -5, 5]}

Jim G.
Jul 23, 2017

#"see explanation"#

Explanation:

#"one way is to find the x and y intercepts, that is where"#
#"the line crosses the axes"#

#• " let x = 0, in the equation for y-intercept"#

#• " let y = 0, in the equation for x-intercept"#

#x=0toy=0+4=4larrcolor(red)" y-intercept"#

#y=0to-4x+4=0tox=1larrcolor(red)" x-intercept"#

#"plot the points "(0,4),(1,0)" and draw a straight line"#
#"through them"#
graph{-4x+4 [-10, 10, -5, 5]}

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