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

2y+2=10x+3
2y=10x+1
y=5x+1/2
y intercept is (0,1/2)
slope is 5

Answer 2

Answer: The answer is 0.5 and 5.

Step-by-step explanation: The given equation of the line is

`2(y+1)=10x+3.`

We are to find the y-intercept and the slope of the given line.

We know that the slope-intercept form of a line is given by

y = mx + c, where, 'm' is the slope and 'c' is the y-intercept of the line.

We have

`2(y+1)=10x+3\\\\\Rightarrow 2y+2=10x+3\\\\\Rightarrow 2y=10x+3-2\\\\\Rightarrow 2y=10x+1\\\\\Rightarrow y=5x+0.5.`

Therefore, c = 0.5 and m = 5.

Thus, the y-intercept of the line is 0.5 and the slope is 5.