What is the equation of the line that passes through (1, 2) and (3, 4)?

Question

What is the equation of the line that passes through (1, 2) and (3, 4)?

1 Answer

Impact of this question

889 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-07T03:25:25

$y = x + 1$ $y=x+1$

Explanation:

$P_{1} = (1, 2)$ $P_1=(1,2)$
$P_{2} = (3, 4)$ $P_2=(3,4)$

The label of the points is arbitrary, just be consistent

$y - y_{2} = m (x - x_{2})$ $y-y_2=m(x-x_2)$

where:
$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $m=(y_2-y_1)/(x_2-x_1)$
$m = \frac{4 - 2}{3 - 1}$ $m=(4-2)/(3-1)$
$m = \frac{2}{2}$ $m=2/2$
$m = 1$ $m=1$

$y - 4 = 1 (x - 3)$ $y-4=1(x-3)$
$y - 4 = x - 3$ $y-4=x-3$
$y = x - 3 + 4$ $y=x-3+4$
$y = x + 1$ $y=x+1$

graph{x+1 [-9.45, 12.98, -2.53, 8.68]}

Science

Math

Humanities

... and beyond

What is the equation of the line that passes through (1, 2) and (3, 4)?

1 Answer

Explanation:

Related questions

Impact of this question