Answer:
1. Option D.
2. Option D.
3. Option B.
4. Option A.
5. The graph of x=-2 is shown below.
Step-by-step explanation:
1.
The given equation is
\(-10x + 5y = 40\)
Substitute x=0, to find the y-intercept.
\(-10(0) + 5y = 40\Rightarrow 5y=40\Rightarrow y=8\)
Substitute y=0, to find the x-intercept.
\(-10x + 5(0) = 40\Rightarrow -10x=40\Rightarrow x=-4\)
Since x-intercept is -4; y-intercept is 8, therefore the correct option is D.
2.
The given equation is
\(5x + 4y = 80\)
Substitute x=0, to find the y-intercept.
\(5(0) + 4y = 80\Rightarrow 4y=80\Rightarrow y=20\)
Substitute y=0, to find the x-intercept.
\(5x + 4(0) = 80\Rightarrow 5x=80\Rightarrow x=16\)
Since x-intercept is 16; y-intercept is 20, therefore the correct option is D.
3.
The given equation is
\(y=\frac{1}{6}x+4\)
Standard form of a line is ax+bx=c.
Multiply both sides by 6.
\(6y=x+24\)
Subtract x from both sides.
\(-x+6y=24\)
Therefore, the correct option is B.
4.
Let k be the weights of kumquats and p be the weights of Asian pears.
A grocery store sells kumquats for $4.75 a pound and Asian pears for $2.25 a pound.
Total cost = 4.75k + 2.25p
Customer could buy for $22.
\(4.75k + 2.25p=22\)
Therefore, the correct option is A.
5.
The given equation is
\(x=-2\)
We need to find the graph of given equation.
We know that x=a is a vertical line which passes through the point (0,a).
The given equation x=-2 is a vertical line which passes through the point (0,-2).
The graph of x=-2 is shown below.
