3. 2x – 3y = -2 slope = y-intercent=
1 answer:
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Answer:
y = 4x + 3
Step-by-step explanation:
Step 1: Write the general equation
y = mx + b
Step 2: Identify b, the Y intercept (x = 0)
b is the value of y when x = 0.
From the graph, when x = 0, y = 3.
Therefore, b = 3
Step 3: The second point from graph (x, y):
P = (1, 7)
Step 4: Define m as ratio of rise / run:
Step 5: Put coordinates into ratio:
Using the two coordinates, (0, 3) and (1, 7), we would have,
Step 6: Perform subtraction to get slope:
m = 4
Step 7: Substitute values into y = mx + b:
Thus, plug in the values of m and b into the slope-intercept equation.
b = 3, m = 4, therefore:
y = (4)x + (3)
Step 8: Write answer:
y = 4x + 3
Given:
For a function f, .
To find:
The coordinates of a point on the graph of f.
Solution:
We have,
It means the value of function f is 10 at -4.
On a coordinate plane x-axis represents the input values and y-axis represents the output values of a function. So,
x-coordinate = input value = -4
y-coordinate = output value = 10
Therefore, the required coordinates of a point on the graph of f are (-4,10).