In the xy-plane, line l passes through the points (4, 4) and (9, 6). What is the x-intercept of line l?
The x-intercept of line l is -6.
To find the x-intercept of a line, we set y to 0 and solve for x. The line passing through the given points can be expressed in slope-intercept form, leading us to the x-intercept at -6.
This choice is correct as it represents the x-intercept of the line. To determine the x-intercept, we first find the slope of the line using the two points (4, 4) and (9, 6), which gives a slope of 0.4. The equation of the line can be derived as y = 0.4x + 2, and setting y to 0 results in x = -6.
This option is incorrect because substituting -4 for x in the line's equation does not yield y = 0. Instead, it results in a non-zero value for y, indicating that (-4, 0) is not a point on the line.
Selecting -2.4 leads to an incorrect conclusion, as substituting -2.4 into the line's equation does not satisfy y = 0. The calculated y-value would be positive, further confirming that this point does not lie on the line.
This choice is also incorrect. Plugging in 0.4 for x in the equation yields a positive y-value, indicating that the point (0.4, 0) does not align with the x-intercept of line l.
The x-intercept of line l, which passes through the points (4, 4) and (9, 6), is found to be -6. This point represents where the line crosses the x-axis, confirming that choice A is the only correct answer. All other options fail to meet the criteria for the x-intercept based on the derived equation of the line.
Related Questions
View allWhich of the following represents the area of the five-sided figure sh...
If an object is moving toward a stationary observer at a constant spee...
Which of the following inequalities is graphed in the xy-plane above?
3^(5/2)-3^(3/2)
A recipe for strawberry jam requires two pounds of berries to make fiv...
Related Quizzes
View allACCUPLACER Next Generation Arithmetic
Next Generation ACCUPLACER Arithmetic Practice Test
ACCUPLACER Next Generation Arithmetic Answers
Next Generation Arithmetic ACCUPLACER
Next-Generation ACCUPLACER Arithmetic
ACCUPLACER Next-Generation Arithmetic Scores
ACCUPLACER Next Generation Quantitative Reasoning Algebra and Statistics
ACCUPLACER Next Generation Quantitative Reasoning Algebra and Statistics Answers
Next Generation ACCUPLACER Scores Quantitative Reasoning Algebra and Statistics
ACCUPLACER Next Generation Quantitative Reasoning Algebra and Statistics Scores
- ✓ 500+ Practice Questions
- ✓ Detailed Explanations
- ✓ Progress Analytics
- ✓ Exam Simulations