What is the y-intercept of the line that is parallel to the line 2x+10y=7 and contains the point (4,9)?

y = -1/5x + 49/5

Step-by-step explanation:

first rewrite the equation so the y is lone

2x + 10y = 7 becomes y = -1/5x + 7/10

If two equations are parallel, that means their slopes are the same.

So the new equation should also have -1/5 as slope.

The equation is now y = -1/5x + b

b is the y-intercept. To find b, let's substitute the given coordinate.

y = -1/5x + b

9 = -1/5(4) + b

9 = -4/5 + b

b = 49/5 or 9 4/5

So equation is y = -1/5x + 49/5