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

Answer:

11a) 2

11b) y=2x-3

11c) a = 7, b = 7

11d) y = -1

Step-by-step explanation:

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

$\dfrac{13-3}{8-3}=\dfrac{10}{5}=2$

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

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