Answer:
[tex]\boxed{y=-6x+4}\\[/tex]
Step-by-step explanation:
(a) Slope of parallel line
Your function is
6x + y = 9
y = -6x + 9 Subtracted 6x from each side
slope = -6
The parallel line has slope = -6.
(b) Equation for parallel line
The point-slope formula for a straight line is
y – y₁ = m(x – x₁)
x₁ = 1; y₁ = -2; m = -6
y – (-2) = -6(x - 1)
y + 2 = -6x + 6
y = -6x + 4
The equation for the parallel line is
[tex]\boxed{y=-6x+4}\\[/tex]
The graph is a straight line that passes through (1, -2) and has a slope of -6.
