SOLUTION: i have to find slope intercept form of the line that passes through (3,5) (0,4)

Algebra.Com
Question 674116: i have to find slope intercept form of the line that passes through (3,5) (0,4)
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

First let's find the slope of the line through the points and


Note: is the first point . So this means that and .
Also, is the second point . So this means that and .


Start with the slope formula.


Plug in , , , and


Subtract from to get


Subtract from to get


Reduce


So the slope of the line that goes through the points and is


Now let's use the point slope formula:


Start with the point slope formula


Plug in , , and


Distribute


Multiply


Add 5 to both sides.


Combine like terms.


So the equation that goes through the points and is


Notice how the graph of goes through the points and . So this visually verifies our answer.
Graph of through the points and

RELATED QUESTIONS

How do I write the equation of the line w/ slope 2/3 that passes through (4,-5)? I need... (answered by Alan3354)
How do I write the equation of the line w/ slope 2/3 that passes through (4,-5)? I need... (answered by Alan3354,ewatrrr)
Find the slope intercept form of line that passes through a(1,5) and... (answered by jim_thompson5910)
Find the equation of the line in slope-intercept form that is perpendicular to y = -1/4 x (answered by MathLover1)
Write an equation of the line in slope intercept form that passes through the given... (answered by Alan3354)
Write an equation in slope-intercept form for the line that is perpendicular to the line... (answered by stanbon)
Find an equation for the line that passes through (0,-5) and is perpendicular to the... (answered by mananth,Alan3354)
I had some others that I have worked on but this stuff is confusing. Please help me find... (answered by jojo14344)
Find the equation of a line in slope-intercept form that passes through the point (0, 4)... (answered by Cromlix)