Answer:
y = 4 1/3x+ 6
Step-by-step explanation:
Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept. The y-intercept occurs at x=0 or point (0,b).
-18 -8 / -2 - 4 = -26 / -6 = 4 1/3 perp = - 4 1/3 = y=4 1/3 x+b
Step 2. -18 -8 / -2 - 4 = -26 / -6 = 4 1/3 perp = - 4 1/3 is a vertical line or parallel to the y-axis. So a line perpendicular to x= 4 1/3 is a horizontal line parallel to the x-axis.
Step 3. Therefore y= 4 1/3 is a horizontal line parallel to the x-axis. Now, the line needs to pass through point (5,6) or x=5 and y=6. Then, y=b=6 or y=6 is the equation of the line. but then x = 4 1/3 so y = 4 1/3x + 6
Step 4. ANSWER: The equation is y = 4 1/3x+ 6 where slope m=4 1/3 and y intercept b=6.