SOLUTION: Find an equation of the line that satisfies the given conditions(a) write the equation in slope-intercept form(b) write the equation in standard form. Through(4,1) parallel to 2x+
Algebra.Com
Question 992766: Find an equation of the line that satisfies the given conditions(a) write the equation in slope-intercept form(b) write the equation in standard form. Through(4,1) parallel to 2x+5y=10
Through (2,-7) perpendicular to 5x+2y=18
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Through(4,1) parallel to 2x+5y=10
Sort 2x + 5y = 10 into:-
y = mx + c form
5y = -2x + 10
y = -2/5x + 2
Gradient (m) = -2/5
Lines that are parallel to one another
have gradients that equal one another.
m1 = m2
Using line equation:-
y - b = m(x - a)
m = -2/5 (a,b) = (4,1)
y - 1 = -2/5( x - 4)
y - 1 = -2/5x + 8/5
y = -2/5x + 8/5 + 5/5 (1)
y = -2/5x + 13/5
or
5y = -2x + 13
..................
Through (2,-7) perpendicular to 5x+2y=18
Sort 5x + 2y = 18 into:-
y = mx + c form
2y = -5x + 18
y = -5/2x + 9
Gradient (m) = -5/2
Lines that are parallel to one another
have gradients that multiply together
to give -1
m1 x m2 = -1
-5/2 x m2 = -1
m2 = 2/5
Using line equation:-
y - b = m(x - a)
m = 2/5 (a,b) = (2,-7)
y - (-7) = 2/5(x - 2)
y + 7 = 2/5x - 4/5
y = 2/5x - 4/5 - 35/5 (7)
y = 2/5x - 39/5
or
5y = 2x - 39
Hope this helps :-)
RELATED QUESTIONS
Find an equation of the line that satisfies the given conditions. (a) write the equation (answered by linht117)
Find an equation of the line that satisfies the conditions. Write the equation in... (answered by stanbon)
Write the equation of the line that satisfies the given conditions. Write the equation in (answered by mananth)
I HOPE U CAN HELP ME WITH THIS. WRITE AN EQUATION OF A LINE THAT SATISFIES THE GIVEN... (answered by MathLover1)
Write an equation in slope-intercept form for the line that satisfies each set of... (answered by oberobic)
write an equation in slope intercept form for th line that satisfies the following... (answered by mananth)
how do i write an equation in slope-intercept form for the line that satisfies each set... (answered by jim_thompson5910)
write an equation in slope-intercept form for the line that satisfies each set of... (answered by Cintchr)
write an equation in slope intercept form for the line that satisfies each set of... (answered by checkley71)