The equation of a line is 2(y + 1) = 10x + 3. The y-intercept of the line is ______ , and the slope of the line is ______.
2(y+1) = 10x + 3
2y + 2 = 10x + 3
2y = 10x +1
y = 10/2x + 1/2
y = 5x + 1/2
Y-intercept is 1/2
Slope/m is 5
Answer:
The y-intercept of the line is \(\frac{1}{2}\), and the slope of the line is 5.
Step-by-step explanation:
The equation of a line is 2 (y + 1 ) = 10x + 3
We have to find y-intercept and slope of the given line.
We will convert this equation into the standard form of the equation of a line.
2(y+1) = 10x + 3
2y + 2 = 10x + 3
2y = 10x + 3 - 2
2y = 10x + 1
y = \(\frac{1}{2}\) (10x + 1)
y = 5x + \(\frac{1}{2}\)
Now the slope of the line is 5 and y-intercept will be \(\frac{1}{2}\).