2131 Find an equation of the line containing the given pair

2.1.31 Find an equation of the line containing the given pair of points. (-2,0) and (0,5) What is the equation of the line? Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.)

Solution

1.slope intercept form is

y = mx + c

slope of line is given by:

m = (y2 - y1)/(x2 - x1)

m = (5 - 0)/(0 - (-2)) = 5/2

m = 5/2

equation of line is given by:

y - y1 = m*(x - x1)

y - 0 = (5/2)*(x - (-2))

y = 5x/2 + 2*(5/2)

y = 5x/2 + 5

2.

y = 6x - 2

slope of above line = 6

slope of it\'s parallel line will be

m1*m2 = -1

6*m2 = -1

m2 = -1/6

Now equation of line will be:

y - y1 = m*(x - x1)

y - 8 = (-1/6)*(x - 0)

y - 8 = -x/6

y = 8 - x/6