ill give the brain my duuudes plot the x- and y-intercept to graph this equation y=-1/2x-3. plz plot on graph :))
2 answers:
Answer: Check out the attached image below for the x and y intercepts, along with the line that goes through the two points.
To find the y intercept, plug in x = 0 and simplify
y = (-1/2)*x - 3
y = (-1/2)*0 - 3
y = 0 - 3
y = -3
In short, the y intercept is simply the constant at the end as the variable term goes away when x = 0. This is represented by the point (0,-3) as shown in red in the attached image below. This is where the graph crosses the y axis.
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To get the x intercept, we do the opposite as before. We plug in y = 0 and solve for x
y = (-1/2)*x - 3
0 = (-1/2)*x - 3
3 = (-1/2)*x
(-1/2)*x = 3
x = -2*3
x = -6
When x = -6, y = 0. So the x intercept is the point (-6,0) as shown as the blue point in the attached image below.
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