SOLUTION: What is the equation of the line that has a slope of 4 and passes through the point (3, -10)?
A. y = 4x - 22
B. y = 4x + 22
C. y = 4x - 43
D. y = 4x + 43
Algebra.Com
Question 301521: What is the equation of the line that has a slope of 4 and passes through the point (3, -10)?
A. y = 4x - 22
B. y = 4x + 22
C. y = 4x - 43
D. y = 4x + 43
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 for the line that has a slope of -4 and passes through the point (0,... (answered by Alan3354)
What is the equation of the line, in standard form, that passes through (4, -3) and is... (answered by ikleyn)
What is the equation of the line, in standard form, that passes through (4, -3) and is... (answered by MathLover1)
Find the equation of a line in slope-intercept form that passes through the point (0, 4)... (answered by Cromlix)
Find the equation (in slope-intercept form) of the line that goes through (-1,2) and has... (answered by user_dude2008)
Which of the following equations represents a line I that goes through (-1,-3) and has a... (answered by tutor_paul)
Which of the following equations represents a line l that goes through (–2, 3) and has a... (answered by jim_thompson5910)
y+4=-4(x-2)
What is the equation in standard form of a parallel line that passes... (answered by stanbon)