Q6.
The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have: slope m = 3, y-intercept (0, 4) → b= 4
<h3>Answer: y = 3x + 4</h3>
Q7.
2x + 4y = 4 |subtract 2x from both sides
4y = -2x + 4 |divide both sides by 4
y = -0.5x + 1
Only second graph has y-intercept = 1.
<h3>Answer: The second graph.</h3>
Q8.
The point-slope form:

We have

Substitute:

<h3>Answer: The first equation.</h3>
Q9.
It's a vertical line. The equation of a vertical line is x = <em>a</em>, where <em>a</em> is any real number.
<h3>Answer: x = -4</h3>
I am assuming you want to solve for m in each case
8n = -3m + 1
8(-2) = -3m + 1
-16 = -3m + 1
-3m = -17
m = 
8(2) = -3m + 1
16 = -3m + 1
-3m = 15
m = -5
8(4) = -3m + 1
32 = -3m + 1
-3m = 31
m = 
The are of the purple figure is 18 square units.
Step-by-step explanation:
Just count the number of squares of the purple units. Flr the incomplete squares, find the corresponding incomplete square and count them as 1.