We have two points, (3,0) and (0,-3). So we can find the slope of the line:
m=(y2-y1)/(x2-x1)
m=(-3-0)/(0-3)
m=-3/-3
m=1 so far for the line y=mx+b we have:
y=x+b, b is the y intercept which we were told is -3 so
y=x-3
The above is called the slope-intercept form of a line, y=mx+b, the standard form of a line is ax+by=c, so we need to get both variables on one side of the equation..
y=x-3 subtract x from both sides
-x+y=-3
While the above may be acceptable to some, technically the coefficient of x should be expressed as a positive value, so we should divide the above "solution" by -1 to get:
x-y=3
Answer: 23.89 thousands of pounds is more wheat that was gathered from the second field than from the first field.
Step-by-step explanation:
Since we have given that
the area of one field = 16 acres
Area of second field is given by
A barn of wheat on the first field makes up
A barn of wheat on the second field makes up
Now,
Hence, 23.89 thousands of pounds is more wheat that was gathered from the second field than from the first field.
Answer:
d = -4
Step-by-step explanation:
3d – 4 + d = 8d – (-12)
3d - 4 + d = 8d + 12
4d - 4 = 8d + 12
(4d - 4d) - 4 = (8d - 4d) + 12
-4 = 4d + 12
-4 - 12 = 4d (+ 12 - 12)
-16 = 4d
-16/4 = 4d/4
d = -4
Answer:
equivalent ratio for this question is
4:6:48
Answer:
<h2>
2x + 3y = 33 </h2>
Step-by-step explanation:
As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.
Hence, the slope of this line is m = rise / run = -2/3.
Start with the slope-intercept form y = mx + b.
Substitute 3 for y and 1 for x and -2/3 for m:
3 = (-2/3)(1) + b.
Remove fractions by mult. all three terms by 3:
9 = -2 + b, so b = 11, and y = (-2/3)x + 11
Again, mult. all three terms by 3:
3y = -2x + 33, or, in standard form,
<h2>
2x + 3y = 33 </h2>
