Question

find the slope and y-intercept of the line.
slope:
y-intercept: ?

Explanation:

Step1: Find two points on the line

From the graph, we can identify two points: \((-1, 0)\) and \((0, 3)\) (we can also use other points like \((-2, -3)\) and \((0, 3)\), but let's use \((-1, 0)\) and \((0, 3)\) for simplicity).

Step2: Calculate the slope

The formula for slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Using \((x_1, y_1)=(-1, 0)\) and \((x_2, y_2)=(0, 3)\), we get \(m=\frac{3 - 0}{0 - (-1)}=\frac{3}{1}=3\).

Step3: Find the y - intercept

The y - intercept is the value of \(y\) when \(x = 0\). From the point \((0, 3)\), when \(x = 0\), \(y = 3\), so the y - intercept is 3.

Answer:

Slope: \(3\), y - intercept: \(3\)