Given:
The equation of a linear function is:
To find:
The y-intercept and slope of the given equation, then draw the graph of the equation.
Solution:
Slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept
We have,
...(ii)
On comparing (i) and (ii), we get
Therefore, the y-intercept is -1 and the slope of the line is 
.
It means the graph intersect the y-axis at point (0,-1) and having slope . So, the graph of the equation is shown below.
Answer:
y=3.5x+4; A(_,5) B(10,_)
Step-by-step explanation:
.Find point A: Substitute y value given, solve for x:
.
5=3.5x+4
1=3.5x
1/3.5=x
0.2857=x
.
Point A=(0.2857,5)
.
Find point B: Substitute x value given, solve for y:
.
y=3.5(10)+4
y=35+4
y=39
.
Point B=(10,39)
.
Slope:
In slope intercept form y=mx+b, m=slope
.
Slope=m=3.5
.
The others are done the same way.
P is (18, -16)
to find the answer, u would solve it in reverse order of the midpoint formula by first doing the x-values:
5(2)= 10-(-8) = 18
and then the same to y-values:
-10(2)= (-20)-(-4) = -16
to get:
(18, -16)
