The "horizontal" distance is 8-2 = 6.
The "vertical" distance is 7-3 = 4.
The Pythagorean theorem tells you the straight line distance is then
√(6² + 4²) = √52 = 2√13 ≈ 7.21
Answer:
1) y=6
Step-by-step explanation:
The equation y=mx+b is called slope-intercept because it tells us the slope,m, and y-intercept ,b.
The equation y=a is a horizontal line and goes through a on the y-axis. Horizontal lines have a slope of zero.
The equation x=b is a vertical line and goes through b on the x-axis.
Vertical lines have an undefined slope.
1) y=6 is horizontal so it's slope is 0
2) x=6 is vertical so it's slope is undefined
3) y=2x has slope 2
4) x+y=1 can be put into the form y=mx+b to determine the slope.
Subtract x on both sides:
y=-x+1
The slope is -1.
Answer:
Step-by-step explanation:

Equation of the line: y= mx +b
y = 3x + b
Substitute ((-1 , 6) in the above equation
6 = 3*(-1) + b
6 = -3+b
6 +3 = b
b = 9
y = 3x + 9