Knowing that slope-intercept form is y=mx+b. mx being the slope and b being the y-intercept.
First, you will first find the slope, which is (y2-y1)/(x2-x1):
5-(-1) / 1-(-1) = Which becomes 6/2.
6/2 = 3. So the slope is 3x
Now when you plot the dots on a graph with a slope of 3 (basically 3/1 knowing that slope is rise over run) you will see that the point that intercepts on the y-axis is 2. So your y-intercept, or b in this equation, is 2.
I believe the slope-intercept form: y=3x+2
Answer:
14.6 feet
Step-by-step explanation:
Let A be the area of a square and S be the length of one of its sides.
The area of a square is A = S². We know A = 214 in this problem, so:
214 = S²
√214 = S
S ≈ 14.629 ≈ 14.6 feet (to the nearest tenth of a foot)
The car can travel 235.2 miles on 9.8 gallons. Just multiply 24 by 9.8.
If it is isosceles, than the legs are the same. We will call them X. The formula for the area of a triangle is 1/2 (base * height). But the base and the height are both X. So the area (18) is equal to 1/2 (x * x), or 1/2(x^2). This means that 36 = x^2. Thus, the length of each side is 6 inches. You can check this work by plugging those into the formula for area. You will find that it equals 18.