Question

the graph of a linear function passes through the points (-10, -14) and (10, 11). place (click and drag) a tile from each row into the corresponding box to describe the slope and y - intercept of the function.
1 slope =
2 y - intercept =
1: -1.5, -1.25, 1.25, 1.5
2: -1.5, -1.25, 1.25, 1.5

Explanation:

Step1: Calculate the slope

Use slope formula: $\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$
Points: $(x_1,y_1)=(-10,-14)$, $(x_2,y_2)=(10,11)$
$\text{slope} = \frac{11 - (-14)}{10 - (-10)} = \frac{25}{20} = 1.25$

Step2: Find y-intercept

Use linear equation $y = mx + b$, substitute $m=1.25$, $(x,y)=(10,11)$
$11 = 1.25(10) + b$
$11 = 12.5 + b$
$b = 11 - 12.5 = -1.25$

Answer:

slope = 1.25
y-intercept = -1.25