Find an equation of the line containing the given pair of points.
(4,1) and (12,3)
I got y=1/4x + 1 for the answear
How do i find the answear to this problem?
30 over 150 = n over 100
what is n?
slope = slope
(y - 1)/(x-4) = (3-1) /(12-4)
(y - 1)/(x-4) = 2/8 = 1/4
y - 1 = x/4 -1
y = x/4
check (note you could do this yourself)
see if (4,1) is on the line
1 = 4/4 yes
Now see if (12,3) is on the line
3 = 12/4 yes
so yes, checked
How do i find the answear to this problem?
30 over 150 = n over 100
what is n?
30/150 = n/100
multiply both sides by 300
2*30 = 3 n
n = 20
check
30/150 = 20/100 ?
1/5 = 1/5 check
To find the equation of a line containing two given points, you can use the point-slope form of a linear equation. The point-slope form is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) are the coordinates of one of the given points, and m is the slope of the line.
Step 1: Calculate the slope (m) using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Given points: (x₁, y₁) = (4, 1) and (x₂, y₂) = (12, 3)
m = (3 - 1) / (12 - 4)
m = 2 / 8
m = 1 / 4
Step 2: Pick one of the given points, for example, (4, 1), and substitute it into the point-slope form.
(y - 1) = (1/4)(x - 4)
Step 3: Simplify the equation by distributing (1/4) to (x - 4).
(y - 1) = (1/4)x - 1
Step 4: Move -1 to the other side of the equation.
(y - 1) + 1 = (1/4)x
Step 5: Simplify.
y = (1/4)x + 1
So, your answer y = (1/4)x + 1 is correct.