Ill give u brainliest plz help :3 if u can ofc take ur time
1 answer:
You might be interested in
Answer:
Graph A = 20miles/gallon
Graph B = 20
Step-by-step explanation:
For graph A, to find the change you will need to choose two points from the graph (the easier the better)
So for example, I've chosen 40miles-2gallons (2, 40) and point 0 (0, 0)
Now you will need to remember the slope formula which is:
so your point (x1, y1) will be (0, 0)
and point (x2, y2) will be (2, 40)
so
which is
and so you get that the slope will be 20 miles/gallon
For graph B, what they want you to see is that change of y/change of x means the same as change of miles/change of gallons since x is the gallons and y is the miles.
<u>Given</u>:
Given that the graph of the linear equation.
We need to determine the equation of the graph.
<u>Slope</u>:
The slope of the equation can be determined using the formula,
Let us substitute the coordinates (2,0) and (0,-4) in the above formula, we get;
Thus, the slope of the equation is 2.
<u>y - intercept:</u>
The y - intercept of the equation is the value of y when x = 0.
Hence, from the graph, it is obvious that when x = 0, the value of y is -4.
Therefore, the value of the y - intercept is b = -4.
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the values, we have;
Subtracting both sides by 2x, we have;
Dividing both sides by -1, we get;
Thus, the equation of the line is
Hence, Option B is the correct answer.