Questions: Graph y=1.9x-3.3 in a rectangular coordinate system. Find the x- and y-intercepts algebraically.

Solution Steps

To find the y-intercept, set \( x = 0 \) in the equation \( y = 1.9x - 3.3 \).

\[ y = 1.9(0) - 3.3 \] \[ y = -3.3 \]

So, the y-intercept is \( (0, -3.3) \).

To find the x-intercept, set \( y = 0 \) in the equation \( y = 1.9x - 3.3 \).

\[ 0 = 1.9x - 3.3 \] \[ 1.9x = 3.3 \] \[ x = \frac{3.3}{1.9} \] \[ x \approx 1.74 \]

So, the x-intercept is \( (1.74, 0) \).

Using the intercepts \( (0, -3.3) \) and \( (1.74, 0) \), we can identify the correct graph. The graph should cross the y-axis at -3.3 and the x-axis at approximately 1.74.

Final Answer