Question

A line passes through the point (8, 9) and has a slope of -3/4 Write an equation in slope-intercept form for this line.​

Answer 1

y = -
`(3)/(4)` x + 15

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = -
`(3)/(4)` , then

y = -
`(3)/(4)` x + c ← is the partial equation

to find c substitute (8, 9 ) into the partial equation

9 = -
`(3)/(4)` (8) + c = - 6 + c ( add 6 to both sides )

15 = c

y = -
`(3)/(4)` x + 15 ← equation of line