Question

find the slope and y-intercept of the line in each graph.
1.
slope m =
y-intercept b =
2.
slop
y-int

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through \((-3, 0)\) and \((0, 3)\) (we can also use other points, but these are clear from the intercepts and grid).

Step2: Calculate the slope \(m\)

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

Step3: Find the y - intercept \(b\)

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

Answer:

slope \(m=\boldsymbol{1}\)
y - intercept \(b=\boldsymbol{3}\)