Parallel means that it has the same gradient but a different Y intercept.
we know it will be:
y=2x+c but we need to know C. what we can do is substitute in the point it needs to go through.
y=2x+c
5=(1×2)+c
5=2+c
3=c

so the equation is:
y=2x+3

8 0

3 years ago

Write an equation of the line that passes through points (4,1) and (-2,7)

jeka94

Answer:

y = - x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

To calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (- 2, 7)

m = $\frac{7-1}{-2=4}$ = $\frac{6}{-6}$ = - 1, hence

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (4, 1), then

1 = - 4 + c ⇒ c = 1 + 4 = 5

y = - x + 5 ← equation of line

4 0

4 years ago

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