Question

Write an equation in slope intercept form for the line that satisfies the following condition. The line passes through (25,3) and is parallel to the graph of y= 9/4x +5

Answer 1

Y = 9/4x + 5....slope here is 9/4. A parallel line will have the same slope.

y = mx + b
slope(m) = 9/4
(25,3)....x = 25 and y = 3
now we sub and find b, the y int
3 = 9/4(25) + b
3 = 225/4 + b
3 - 225/4 = b
12/4 - 225/4 = b
-213/4 = b

so ur equation is : y = 9/4x - 213/4