What is the equation of the line that passes through the points (2, 4) and (3,9)?

Question

What is the equation of the line that passes through the points (2, 4) and (3,9)?

2 Answers

Impact of this question

50442 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-11T09:22:01

5

Explanation:

Use $\frac{y_{2} - y_{2}}{x_{2} - x_{1}}$ $(y_2-y_2)/(x_2-x_1)$

$\frac{4 - 9}{2 - 3}$ $(4-9)/(2-3)$ = $\frac{- 5}{- 1}$ $(-5)/-1$

$= 5$ $=5$

Answer 2 · 2018-06-11T10:56:44

$y = 5 x - 6$ $y=5x-6$

Explanation:

$the equation of a line in slope-intercept form$ $"the equation of a line in "color(blue)"slope-intercept form"$ is.

$∙ x y = m x + b$ $•color(white)(x)y=mx+b$

$where m is the slope and b the y-intercept$ $"where m is the slope and b the y-intercept"$

$to calculate m use the gradient formula$ $"to calculate m use the "color(blue)"gradient formula"$

$∙ x m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $•color(white)(x)m=(y_2-y_1)/(x_2-x_1)$

$let (x_{1}, y_{1}) = (2, 4) and (x_{2}, y_{2}) = (3, 9)$ $"let "(x_1,y_1)=(2,4)" and "(x_2,y_2)=(3,9)$

$m = \frac{9 - 4}{3 - 2} = \frac{5}{1} = 5$ $m=(9-4)/(3-2)=5/1=5$

$y = 5 x + b \leftarrow is the partial equation$ $y=5x+blarrcolor(blue)"is the partial equation"$

$to find b substitute either of the 2 given points$ $"to find b substitute either of the 2 given points"$
$into the partial equation$ $"into the partial equation"$

$using (2, 4) then$ $"using "(2,4)" then"$

$4 = 10 + b \Rightarrow b = 4 - 10 = - 6$ $4=10+brArrb=4-10=-6$

$y = 5 x - 6 \leftarrow is the equation of line$ $y=5x-6larrcolor(red)"is the equation of line"$

Science

Math

Humanities

... and beyond

What is the equation of the line that passes through the points (2, 4) and (3,9)?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question