What is the equation in point-slope form of the line passing through (−2, 1) and (4, 13)?
y − 1 = −2(x − 4) y − 1 = 2(x + 2) y − 13 = −2(x + 2) y − 13 = 2(x + 4)

Question

What is the equation in point-slope form of the line passing through (−2, 1) and (4, 13)?
y − 1 = −2(x − 4) y − 1 = 2(x + 2) y − 13 = −2(x + 2) y − 13 = 2(x + 4)

anonymous · Answer

Can you calculate the slope of the line containing these points using
$$m=\frac{ y_2 - y_1 }{ x_2 - x_1 }$$

gabylovesyou · Answer

2

anonymous · Answer

Great. Now, in slope-intercept form you have$$y=2x+b$$Substitute the x and y coordinates from either one of the given points into this equation and solve for b. Done

gabylovesyou · Answer

what do u mean ?

anonymous · Answer

Choose either one of the given points, let's say (-2, 1). The x-coordinate is -2 and the y-coordinate is 1. Substitute these values into the slope-intercept form, giving$$y=2x+b$$$$1=2\left( -2 \right)+b$$Are you now able to solve for b?

vanessaperezxo · Answer

y = 2x + b is the slope-intercept form. You have to fill in variables. So what you need to do is substitute the variable for either one of the points like @ospreytriple said.

gabylovesyou · Answer

b = 5

anonymous · Answer

Terrific. Now you have the value of m and of b, which is everything you need. Now just substitute these values for m and b into $$y=mx+b$$ and you have your solution. BTW, it doesn't matter which of the two points you choose in the previous step, you will grt thr same answer.

vanessaperezxo · Answer

Yes, for the problem 1 = 2(-2) + b . That would equal 5.

gabylovesyou · Answer

ok im lost again

vanessaperezxo · Answer

ok, which part don't you understand?

gabylovesyou · Answer

how do i get my answer after finding b?

anonymous · Answer

$$y=mx+b$$with m=2 and b=5 gives$$y=2x+5$$which is the desired equation in slope-intercept form.

gabylovesyou · Answer

its not in my answers ?

solomonzelman · Answer

you just need to plug it into a point slope form

anonymous · Answer

Sorry. If there are no errors in the question you typed in originally, this is the correct answer.

solomonzelman · Answer

$\large\color{slate}{ \displaystyle y-y_1=m\left(x-x_1\right)}$

gabylovesyou · Answer

so its B ?

solomonzelman · Answer

your slope is 2
(one of) your point(s) is (-2, 1)

plug this information into
$\large\color{slate}{ \displaystyle y-y_1=m\left(x-x_1\right)}$

where  $\large\color{slate}{ \displaystyle \left(x_1,y_1\right)}$ is the point.
and $\large\color{slate}{ \displaystyle m}$ is the slope.

solomonzelman · Answer

yuop

solomonzelman · Answer

it is B.
$\large\color{slate}{ \displaystyle y-1=2\left(x+2\right)}$

vanessaperezxo · Answer

simplify the equation to see if it works. |dw:1422846733002:dw|

vanessaperezxo · Answer

but i agree the answer is B.

vanessaperezxo · Answer

It passes by the points (-2, 1) and (4,13)