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If the y-intercept of the graph is 2x + by = 15 is 5, what is the value of b?

2 Answers

2 votes

Final answer:

The value of b in the equation 2x + by = 15, when the y-intercept is 5, is 3.

Step-by-step explanation:

The y-intercept of the graph represented by the equation 2x + by = 15 is given as 5.

We can substitute the value of y-intercept (b = 5) into the equation to solve for the value of b.

2x + 5y = 15

Now, we can rearrange the equation to isolate b:

5y = 15 - 2x

Dividing both sides by 5:

y = (15 - 2x) / 5

Comparing this equation with the standard slope-intercept form (y = mx + b), we can see that the coefficient of y is b. Therefore, the value of b is 3.

User Shubhan
by
8.3k points
4 votes
first you have to subtract 2x
by=15-2x then divide by y
b=15-2x/y <------ that's your answer
User Evgeny Goldin
by
8.1k points