Explanation:
To convert the equation y - 1 = 1/4(x + 1) to slope-intercept form, we need to isolate y on one side of the equation.
First, let's distribute 1/4 to the terms inside the parentheses:
y - 1 = 1/4 * x + 1/4
Next, let's simplify the equation by adding 1 to both sides:
y - 1 + 1 = 1/4 * x + 1/4 + 1
This simplifies to:
y = 1/4 * x + 5/4
Therefore, the slope-intercept form of the equation y - 1 = 1/4(x + 1) is y = 1/4x + 5/4.
Now, let's move on to the second equation:
To convert the equation y - 1.5 = 1.5(x - 4) to slope-intercept form, we need to isolate y on one side of the equation.
First, let's distribute 1.5 to the terms inside the parentheses:
y - 1.5 = 1.5 * x - 6
Next, let's simplify the equation by adding 1.5 to both sides:
y - 1.5 + 1.5 = 1.5 * x - 6 + 1.5
This simplifies to:
y = 1.5 * x - 4.5
Therefore, the slope-intercept form of the equation y - 1.5 = 1.5(x - 4) is y = 1.5x - 4.5.