SOLUTION: Write the equation of the line (in slope-intercept form) that passes through (3,7) and has a slope of 1/3

Question 304971: Write the equation of the line (in slope-intercept form) that passes through (3,7) and has a slope of 1/3
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A line and a point example.
Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2)
-----------------
Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y.
9x+3y = 36
3y= - 9x + 36
y = -3x + 12
The slope, m = -3
------------------
The slope of lines parallel is the same.
The slope of lines perpendicular is the negative inverse, m = +1/3
----------------
Use y = mx + b and the point (1,2) to find b.
2 = (1/3)*1 + b
b = 5/3
The equation is y = (1/3)x + 5/3 (slope-intercept form)
x - 3y = -5 (standard form)
------------------------
For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com
RELATED QUESTIONS
write the equation of the line in slope intercept form for the line that passes... (answered by ewatrrr)

What is the equation of the line that passes through (-3,-1) and has a slope of 3/5?... (answered by ankor@dixie-net.com)

Write an equation of the line that passes through the point and has the given slope.... (answered by checkley71)

Write the equation of a line that has slope = (3/4) and passes through (4, �3); Write... (answered by longjonsilver)

Write the equation of the line in slope intercept form that passes through (1, -3) and... (answered by ikleyn)

Write the equation of a line in slope-intercept form that has a slope of 3/4 and passes... (answered by josmiceli)

Write an equation in slope-intercept form of the line that passes through the point (-4,... (answered by solver91311)

Write an equation for each condition listed. Line with a slope of 7 and a y-intercept of (answered by It is costly)

Find the equation in slope-intercept form, of the line that passes through the points (3, (answered by checkley75)