Question

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 ______.

Answer 1

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 2

The y-intercept of the line is
`(1)/(2)`, and the slope of the line is 5.

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 =
`(1)/(2)` (10x + 1)

y = 5x +
`(1)/(2)`

Now the slope of the line is 5 and y-intercept will be
`(1)/(2)`.