Question

Put the following equation of the line into slope intercept form simplifying all fractions \(y - 6x = 9\).

a) \(y = 6x + 9\)
b) \(y = -6x + 9\)
c) \(y = 6x - 9\)
d) \(y = -6x - 9\)

Answer 1

The equation y - 6x = 9 in slope-intercept form is A) y = 6x + 9. The slope-intercept form is y = mx + b, where m is the slope, which is 6, and b is the y-intercept, which is 9.

Step-by-step explanation:

To convert the equation y - 6x = 9 to slope-intercept form, we need to solve for y. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. Given that we have y - 6x = 9, we can isolate y by adding 6x to both sides of the equation.

Here are the steps to solve it:

1. Add 6x to both sides of the equation to get y by itself:
   y - 6x + 6x = 9 + 6x
2. This simplifies to:
   y = 6x + 9

Therefore, the equation in slope-intercept form is A) y = 6x + 9.

The given information about FIGURE A1 seems to mention a different line with a slope of 3 and a y-intercept of 9 (y = 3x + 9), which does not match the provided equation. For the equation y - 6x = 9, the slope is 6, and the y-intercept is 9, as indicated by the coefficient of x and the constant term, respectively.