Question
Graph the inequality on the axes below.
minus, 2, x, plus, y, is greater than or equal to, minus, 6
−2x+y≥−6
minus, 2, x, plus, y, is greater than or equal to, minus, 6
−2x+y≥−6
Answers
GPT 3.5
To graph the inequality -2x+y≥-6, we first need to convert it into slope-intercept form (y≥mx+b).
-2x+y≥-6
y≥2x-6
Next, we graph the line y=2x-6, which has a y-intercept of -6 and a slope of 2.
The line is solid because it is "greater than or equal to".
Then, we shade the area above the line, since y is greater than or equal to 2x-6.
The final graph should have a solid line with a shaded area above it.
-2x+y≥-6
y≥2x-6
Next, we graph the line y=2x-6, which has a y-intercept of -6 and a slope of 2.
The line is solid because it is "greater than or equal to".
Then, we shade the area above the line, since y is greater than or equal to 2x-6.
The final graph should have a solid line with a shaded area above it.