Helena is correct in saying that the point-slope form will generate the equation. The point-slope form is written as:
y-y₁ = m(x-x₁), where,
m = (y₂-y₁)/(x₂-x₁) is the slope of the line
(x₁,y₁) and (x₂,y₂) are the coordinates of the two points
On the other hand, the slope-intercept form is written as:
y = mx + b, where,
m is the slope of the line
b is the y-intercept
In this case, since only two points were given, the y-intercept of the line is not readily known. Thus, it is only through the point-slope form that the equation of the line can be determined. This is because it only requires the substitution of the x and y-coordinates of the points in the equation.
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
Answer:
Egg
Step-by-step explanation:
eggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggegg
Answer:
1 and 3/8 of pizza
Step-by-step explanation:
5/8 + 3/4
3/4 x 2 to get the same denominator as 5/8
5/8 + 6/8 = 11/8
11/8 = 1 3/8
First, determine the distance of the motorcycle and the car from the start point. The distance could be determined using
d stands for distance, v stands for speed, t stands for time
The car
d = 48 × t
d = 48t
The motorcycle
d = 20 × t
d = 20t
At the end of t hours, the car is 48t miles (east) from the start point and the motorcycle is 20t miles (north) from the start point.
Second, determine the distance between 48t miles at east and 20t miles at north using pythagorasdistance =

distance =

distance =

distance = 52t
The expression for their distance apart at the end of t hours is 52t
A + R + J = 1925
A = 1/2R
J = 2R
1/2R + R + 2R = 1925
7/2R = 1925
R = 550
J = 2(550)
J = 1100
Joel collects 1100 cans.