How do you graph the function $y = - 5 x + 1$ $y=-5x+1$ ?

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Answer 1 · 2018-05-28T22:50:05

See a solution process below:

First, solve for two points which solve the equation and plot these points:

First Point: For $x = 0$ $x = 0$

$y = (- 5 \cdot 0) + 1$ $y = (-5 * 0) + 1$

$y = 0 + 1$ $y = 0 + 1$

$y = 1$ $y = 1$ or $(0, 1)$ $(0, 1)$

Second Point: For $x = 1$ $x = 1$

$y = (- 5 \cdot 1) + 1$ $y = (-5 * 1) + 1$

$y = - 5 + 1$ $y = -5 + 1$

$y = - 4$ $y = -4$ or $(1, - 4)$ $(1, -4)$

We can next plot the two points on the coordinate plane:

graph{(x^2+(y-1)^2-0.035)((x-1)^2+(y+4)^2-0.035)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y+5x-1)(x^2+(y-1)^2-0.035)((x-1)^2+(y+4)^2-0.035)=0 [-10, 10, -5, 5]}

How do you graph the function y=−5x+1y=-5x+1?