(2,-2)(4,10)
slope = (10 - (-2) / (4 - 2) = (10 + 2) / 2 = 12/2 = 6
The slope of the original equation is 6, but we are looking for a perpendicular line, so we need the negative reciprocal slope. All that means is " flip " the slope and change the sign. 6 or 6/1.....flip it...1/6...change the sign....-1/6. So we will need the slope of -1/6.
y = mx + b
slope(m) = -1/6
(2,1)...x = 2 and y = 1
now we sub and find b, the y intercept
1 = -1/6(2) + b
1 = -1/3 + b
1 + 1/3 = b
3/3 + 1/3 = b
4/3 = b
so ur perpendicular equation is : y = -1/6x + 4/3
Answer:
Step-by-step explanation:
The x-intercept exists when y = 0; the coordinate that results from our x-intercept is (4, 0).
The y-intercept exists when x = 0; the coordinate that results from our y-intercept is (0, -2).
We can use these 2 coordinates to find the slope of the line we need to write:

Now we can use that slope along with one of our points to write the equation of the line. I am going to use the point-slope form, then we will solve it for y to put it into slope-intercept. Let's use the coordinate (4, 0). Keep in mind that regardless of which point we choose to use to write our equation, we will get the same equation.
y - 0 = 1/2(x - 4) and
y = 1/2x - 2
That's your equation!
Answer:
Mabel would have to draw a new angle that measured 97°.
Step-by-step explanation:
Supplementary angles always add up to 180°.
So, she would have to draw an angle that was
°
°
.
So Mabel would have to draw a new angle that measured 97°.
So this is our inequality in algebraic terms: 
Firstly, subtract n on both sides of the inequality: 
Next, subtract 5 on both sides of the inequality, and <u>your inequality is
</u>
Answer:
5.54 inches of rain
Step-by-step explanation:
Monday - 3.11
Tuesday - 0.81
Wednesday - 0.81 x 2= 1.62
3.11 + 0.81 + 1.62=5.54 inches