Problem 35
Question
Write the equation in slope-intercept form. Then graph the equation. $$x+y=0$$
Step-by-Step Solution
Verified Answer
The slope-intercept form of the given equation is \(y=-x\). The graph of the equation is a straight line passing through the origin and moving downwards from left to right.
1Step 1: Write the equation in slope-intercept form
To do this, solve the given equation for y by subtracting x from both sides. The resulting equation is \(y=-x\).
2Step 2: Identify the slope and the y-intercept
Now in our equation \(y=-x\), the coefficient of x is -1 which is the slope, and there's no constant term so the y-intercept is 0.
3Step 3: Graph the equation
Start at the origin (0,0), since the y-intercept is 0. As the slope is -1, move one unit down for every one unit moved to the right from the origin for the next point. Join these points to get a straight line.
Other exercises in this chapter
Problem 35
Graph the line that has the given intercepts. $$ \begin{array}{l} {x \text { -intercept: }-7} \\ {y \text { -intercept: }-3} \end{array} $$
View solution Problem 35
The number of words typed varies directly with the time spent typing. If a typist can type 275 words in 5 minutes, how long will it take the typist to type a 93
View solution Problem 35
Which point does not lie on the graph of \(y=3 ?\) A. \((0,3)\) B. \((-3,3)\) C. \((3,-3)\) D. \(\left(\frac{1}{3}, 3\right)\)
View solution Problem 35
Find three ordered pairs that are solutions of the equation. $$ 2 x+3 y=9 $$
View solution