Answer:
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula
. Substitute the x and y values of the given points into the formula and solve:

Thus, the slope is
.
2) Now, use the point-slope formula
to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for
,
, and
.
Since
represents the slope, substitute
for it. Since
and
represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

1 1/4?? because 7/4 cant be a whole number its a mixed number when simplified
Answer:
c = 12
Step-by-step explanation:
3(c - 4) = 4(c - 6)
Use the distributive property on each side.
3c - 12 = 4c - 24
Now you need the terms with c on the left side and the numbers on the right side. Subtract 4c from both sides. Add 12 to both sides.
3c - 4c - 12 + 12 = 4c - 4c - 24 + 12
Combine like terms on each side.
-c = -12
Multiply both sides by -1.
c = 12
The answer is: 117m²
The explanation is shown below:
1. You have the following information given in the problem:
- The triangle has an area of 13 m².
- The dimensions of the triangle are increased by a scale factor of 3.
2. Therefore, to solve the exercise you must multiply the area by
, as following:
