Graph this line using intercepts:x+y=–5
Question
Graph this line using intercepts:x+y=–5
Solution
Sure, here are the steps to graph the line x + y = -5 using intercepts:
Step 1: Find the x-intercept The x-intercept is the point where the line crosses the x-axis. At this point, y = 0. So, substitute y = 0 into the equation and solve for x:
x + 0 = -5 x = -5
So, the x-intercept is (-5, 0).
Step 2: Find the y-intercept The y-intercept is the point where the line crosses the y-axis. At this point, x = 0. So, substitute x = 0 into the equation and solve for y:
0 + y = -5 y = -5
So, the y-intercept is (0, -5).
Step 3: Plot the intercepts On a graph, plot the x-intercept (-5, 0) and the y-intercept (0, -5).
Step 4: Draw the line Draw a straight line that passes through the two intercepts. This line represents the equation x + y = -5.
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