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

2 Answers
Jul 23, 2017

See explanation.

Explanation:

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

f(0)=-4*0+4=4f(0)=40+4=4

f(1)=-4*1+4=0f(1)=41+4=0

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

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

Jul 23, 2017

"see explanation"see explanation

Explanation:

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

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

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

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

y=0to-4x+4=0tox=1larrcolor(red)" x-intercept"y=04x+4=0x=1 x-intercept

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