Graph the linear equation 16x-4y=28
1 answer:
Answer:
<em>See the attached image</em>
Step-by-step explanation:
First, rearrange and simplify the equation:
16x – 4y = 28
–4y = –16x + 28
y = 4x – 7
Then, locate some points along the line:
f(0) = 4(0) – 7 = 0 – 7 = –7 → (0, –7)
f(1) = 4(1) – 7 = 4 – 7 = –3 → (1, –3)
f(2) = 4(2) – 7 = 8 – 7 = 1 → (2, 1)
f(3) = 4(3) – 7 = 12 – 7 = 5 → (3, 5)
Finally, draw a line across the points.
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See the attached figure. The smaller the θ angle, the smaller the AB side will be. If the angle θ = 90º, then AB = 25. As θ < 90, then AB < 25
5X - 10 < 25
5X < 25 + 10
X < 35/5
X < 7
The AB side can be neither zero nor negative. So
5X - 10 > 0
5X > 10
X > 10/5
X > 2
<h3>2 < X < 7</h3>