To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
It’s 108t because if you combine like terms then multiple then you get 108t :)
Answer:
-8 = d
Step-by-step explanation:
-10 = -2+d
Add 2 to each side
-10 +2 = -2+2 +d
-8 = d
Answer:
y = -1/4x + 2.5
or
y = -1/4x + 5/2
Step-by-step explanation:
First we know that a perpendicular line is one that intersects at a 90-degree angle. This is simply the negative inverse of the slope in our case. So, 4 turns into -1/4 and that is our new slope. Next we know that we want it to pass through the point (6,1). Right now our equation is y = -1/4x + b. We can plug (6,1) into this equation and solve.
1 = -1/4(6) + b
1 = -6/4 + b
4/4 + 6/4 = 10/4
10/4 = b
simplify: 5/2 or 2.5 = b
Now we have our y-intercept, so we can complete our equation.
y = -1/4x + 2.5
or
y = -1/4x + 5/2
<span>The inequality |2x − 6| less than or equal to 10 can be expressed as two form like this to get two value of x
2x-6 </span>≤<span> 10
2x</span>≤10+6
x≤8<span>
-(</span>2x-6) ≤ 10<span>
2x-6 </span>≥<span> -10
2x</span>≥-10+6
x≥-4
<span>
The graph of the inequality would be: </span>
x≤8 and x≥-4
or
-4≤x≤8
