Question

1. slope (20 points)

the graph of a linear function is shown on the grid.
determine the values of m and b in the equation y = mx + b for the line.
slope (m): -2
y - intercept (b):
linear equation (slope - intercept form): -2x-
f(-5) =
page 1

Explanation:

Step1: Identify y - intercept

The line crosses the y - axis at the point $(0, - 6)$. So, $b=-6$.

Step2: Write linear equation

The slope - intercept form is $y = mx + b$. Since $m=-2$ and $b = - 6$, the linear equation is $y=-2x-6$.

Step3: Find $f(-5)$

Substitute $x=-5$ into $y=-2x - 6$. Then $y=-2\times(-5)-6$.
$y = 10 - 6=4$.

Answer:

Y - intercept (b): $-6$
Linear Equation (Slope - Intercept Form): $y=-2x - 6$
$f(-5)=4$