Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

y - y1 = m(x - x1)

y - 1 = 1/10(x - 6)

y - 1 = 1/10x - 6

y - 1 + 1 = 1/10x - 6 + 1

y = 1/10x - 5

What am I doing wrong?

Question

Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

y - y1 = m(x - x1)

y - 1 = 1/10(x - 6)

y - 1 = 1/10x - 6

y - 1 + 1 = 1/10x - 6 + 1

y = 1/10x - 5

What am I doing wrong?

gracygirl · Answer

@Will.H @AloneS @Awolflover1 @Frozen15

studygurl14 · Answer

First off, your slope is wrong. Second, why did you change it to slope-intercept form?

studygurl14 · Answer

Slope formula with two points $(x_1,y_1)$ and $(x_2,y_2)$
m=$\Large\frac{y_2-y_1}{x_2-x_1}$

Point-slope formula:
$\large y-y_1=m(x-x_1)$

gracygirl · Answer

I don't know...my teacher didn't even tell me I did that...that's why I'm finally coming here because I'm desperate to get this right. @StudyGurl14

studygurl14 · Answer

Use the two given points and plug into the formula I gave

gracygirl · Answer

$$m = \frac{ 1 - (-9) }{ 7 - 6 }$$

gracygirl · Answer

?

studygurl14 · Answer

Yes

gracygirl · Answer

So that's the answer? Or simplify it?

gracygirl · Answer

Simplified would be... 

$$m = \frac{ 1 + 9 }{ 7 - 6 } = \frac{ 10 }{ 1 } = 10?$$

gracygirl · Answer

@StudyGurl14

studygurl14 · Answer

yes

gracygirl · Answer

Thank you!