Answer:
b<-2
Step-by-step explanation:
4-2b > (6-b)
4-2b > 6-b
-4 +b -4 +b
-b > 2
/-1 /-1
b < -2
Answer:
62
Step-by-step explanation:
Answer:
A. y=x+7
Explanation:
All of the answers are in y-intercept form (y=mx+b where m is the slope and b is the y-intercept), so the two points are used to solve for slope and y-intercept. Immediately, (0,7) gives the y-intercept because this point intercepts the y-axis at 7. Slope is found by dividing the rise over run between the two points. The points rise in y from 2 to 7 for a total of 5 units and the points run from -5 to 0 for a total of 5 units. Rise divided by run would be 5/5, simplified to a slope of 1. From this, slope=m=1 and y-intercept=b=7. Plugging these values into y=mx+b, the final answer is y=x+7.
Given:
The equation of a line is:
A line parallel to the above line passes through the point P(2,5).
To find:
The equation of the parallel line.
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
The given equation is:
It can be rewritten as
...(ii)
On comparing (i) and (ii), we get
It means the slope of the given line is 4.
We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.
The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is
Therefore, the equation of the required parallel line is .