The equation of a line is x + 4y = 15.
What is the y-intercept of the line?
−15
4/15
15/4
15
set x=0:
0 + 4y = 15
To find the y-intercept of the line, we can rearrange the equation in the form y = mx + b, where m is the slope and b is the y-intercept.
Starting with the given equation: x + 4y = 15
Let's isolate the y-term by subtracting x from both sides: 4y = -x + 15
To solve for y, divide both sides of the equation by 4: y = (-1/4)x + (15/4)
Therefore, the y-intercept of the line is the constant term, which is 15/4. So, the correct answer is 15/4.
To find the y-intercept of a line, we need to consider the equation of the line in slope-intercept form, which is y = mx + b. In this form, "m" represents the slope of the line, and "b" represents the y-intercept.
To convert the given equation x + 4y = 15 into slope-intercept form, we need to isolate the "y" term on one side of the equation.
Starting with x + 4y = 15:
1. Subtract "x" from both sides: 4y = -x + 15.
2. Divide both sides by 4: y = -1/4 x + 15/4.
Now we can see that the y-intercept "b" is equal to 15/4.
Therefore, the y-intercept of the line represented by the equation x + 4y = 15 is 15/4.