Question

11c) Find the values for a and b.

11c) What is the y-coordinate when x-coordinate is 1. (1,?)
Please help!!!!

Answer 1

11a) 2

11b) y=2x-3

11c) a = 7, b = 7

11d) y = -1

Explanation:

11a) The line passes through the points (3,3) and (8,13), then its slope is

`(13-3)/(8-3)=(10)/(5)=2`

11b) The equation of the line is

`y-3=2(x-3)\\ \\y-3=2x-6\\ \\y=2x-6+3\\ \\y=2x-3`

11c) If point (5,a) lies on the line, then its coordinates satisfy the equation:

`a=2\cdot 5-3\\ \\a=10-3\\ \\a=7`

If point (b,11) lies on the line, then its coordinates satisfy the equation:

`11=2b-3\\ \\11+3=2b-3+3\\ \\14=2b\\ \\2b=14\\ \\b=7`

11d) If
`x=1`, then

`y=2\cdot 1-3\\ \\y=2-3\\ \\y=-1`