Question

problem 6.1:
write an equation for this line:
y = ____ x + ____
(5, 4)
(0, -1)

Explanation:

Step1: Find the slope (m)

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Using points (0, -1) and (5, 4):
$m = \frac{4 - (-1)}{5 - 0} = \frac{5}{5} = 1$

Step2: Find the y-intercept (b)

The y-intercept is the y-value when x = 0. From point (0, -1), $b = -1$.

Step3: Write the equation

The slope-intercept form is $y = mx + b$. Substituting m = 1 and b = -1:
$y = 1x + (-1)$ or $y = x - 1$

Answer:

$y = \boldsymbol{1}x + \boldsymbol{(-1)}$ (or $y = x - 1$)