Answer:
1. Slope: -3/4
2. Point-slope: y+4=-3/4(x+4)
3. Slope-intercept: y=-3/4x-7
4. Standard form: 3x+4y=-28
Step-by-step explanation:
1. To find the slope, use the slope formula, which is: y2-y1/x2-x1.
Plug the y-coordinates into the top part of the equation and the x-coordinates into the bottom part.
2--4/-4-4
2+4/-8 = 6/-8, or 3/-4
2. Use the slope and one of the x and y coordinates to put the equation into point-slope form. Recall that point-slope form is: y-y1=m(x-x1). Let's use the coordinates (4,-4).
y+4=-3/4(x+4)
3. To put the point-slope equation into slope-intercept form (y=mx+b), you need to distribute -3/4 to x+4 and subtract 4 from both sides.
When you distribute, the equation becomes:
y+4=-3/4x-3
Finally, when you subtract 4, the equation becomes:
y=-3/4x-7
4. Standard form is written as x+y= #.
To convert y=mx+b to standard form, first subtract -3/4x from both sides.
-3/4x + y = -7
Multiply everything by 4
3x + 4y = -28
Answer:
33°
Step-by-step explanation:
Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.
__
Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:
∠UXW = 90° -57° = 33°
a 10-by-10 grid means there are 100 squares and percent is out of 100 so if you have 42% then you just need to fill in 42 squares
Answer:
5/8
Step-by-step explanation:
SUM OF RATIOS = 5 + 3 = 8
fraction of blue sweet = blue sweet ratio / sum of ratios = 5/8
Answer:
y is greater than or equal to 14
Step-by-step explanation:
