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

Graph y=1.9x-3.3 in a rectangular coordinate system. Find the x- and y-intercepts algebraically.
Transcript text: Graph $y=1.9 x-3.3$ in a rectangular coordinate system. Find the $x$ - and $y$-intercepts algebraically.
failed

Solution

failed
failed

Solution Steps

Step 1: Find the y-intercept

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 \( (0, -3.3) \).

Step 2: Find the x-intercept

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 \( (1.74, 0) \).

Step 3: Identify the correct graph

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

The correct graph is D.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A Providence Hospital experiment involves two different waiting line configuration that feeds four stations and another configuration with individ compare the variation. Find the coefficient of variation of the single line data set. Single Line: 389, 398, 403, 410, 424, 439, 446, 463, 463, 463 Individual Lines: 250, 323, 348, 371, 404, 464, 464, 510, 560, 600 % (Type an integer or a decimal rounded to one decimal place as needed.)
failedAnswered
0.871 M NaOH solution (density of solution = 1.04 g/mL ). Be sure your answer has the correct number of significant digits.
failedAnswered
What is the graph of the function? f(x)=-1/(x+2)+3
failedAnswered
What do all the plants, animals, and microscopic organisms of an ecosystem have in common, aside from their physical environment? A. They all require the same resources to survive. B. They all would die if moved to another ecosystem. C. They all have symbiotic relationships with each other. D. They are the biotic elements of the ecosystem.
failedAnswered
Rose's parents have booked and paid for a family trip to Aspen, Colorado, during her spring break. Rose's friends recently decided to drive to Destin, Florida, for spring break. Rose needs to decide whether to join her parents in Aspen or drive to the beach with her friends. The opportunity costs of joining her friends on the trip to Destin include each of these EXCEPT: her parents' anger if she skips the family trip to Aspen. her contribution to gas money for the drive to Destin. the ski lift ticket her parents have already purchased for her. the hotel costs she will split with her friends in Destin.