Answer:
Equation: 2x + 10y = 98
y-intercept: (0, 9.8)
Step-by-step explanation:
The easiest possible way to solve thios problem follows:
Keep the form of the given line 2x + 10y = 7, replacing the '7' with the constant 'c:'
2x + 10y = c
Now take the coordinates of the given point (4, 9) and substitute them into the above equation, to find c:
2(4) + 10(9) = c
Then 8 + 90 = c, and c = 98
Then the desired equation is 2x + 10y = 98
To find the y-intercept, let x = 0 and solve for y. We get
10y = 98, so that y = 9.8. The y-intercept is thus (0, 9.8).
