The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.
We have given that,
A line that has a gradient of 2 and passes through the line (1, 4).
We have to determine the equation of the line,
<h3>What is the gradient?</h3>
The gradient also known as the slope is the defined as
Gradient (m) = change in y coordinate / change in x coordinate
The equation of a line passing through a given point is given by the following equation
y – y₁ = m(x – x₁)
How to determine the equation of the line passing through point (1,4)
x coordinate (x₁) = 1
y coordinate (y₁) = 4
Gradient (m) = 2
Equation =
y – y₁ = m(x – x₁)
y – 4 = 2(x – 1)
Clear bracket
y – 4 = 2x – 2
Make y the subject by adding 4 to both sides
y – 4 + 4 = 2x – 2 + 4
y = 2x + 2
The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.
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Answer: I would go with C
Step-by-step explanation: if correct please mark brainliest
Answer:
y-intercept is 1
Step-by-step explanation:
The line connects to the y-axis at 1
Answer:
580 yards long.
Step-by-step explanation:
The distance of the walking tour is = 1 mile
Step 1
We have to convert 1 mile to yards
Therefore ,
1 mile = 1760 yards
Step 2
We are told that the group took a detour that was 300 yards shorter than half the distance of the tour.
The second step would be to find out how many yards is equal to half the distance of the tour.
Half the distance of the tour = 1/2 of a mile
And in step 1 we have converted whole distance of the tour to yards
= 1 mile = 1760 yards.
Hence, Half the distance of the tour = 1760 yards ÷ 2
= 880 yards.
Step 3
The group took a detour that was 300 yards shorter than half the distance of the tour.
This means mathematically,
Half the distance of the tour - 300 yards
= 880 yards - 300 yards
= 580 yards.
Therefore, the detour was 580 yards long.
Answer:
pretty good tired of the virus stuff but good
Step-by-step explanation:
