The line represents the inequality Option (d) is correct.
Further explanation:
The linear equation with slope and intercept is given as follows.
The formula for slope of line with points and can be expressed as,
Given:
The inequalities are as follows.
(a).
(b).
(c).
(d).
Explanation:
The line intersects y-axis at , therefore the y-intercept is 3.
The points are and
The slope of the line can be obtained as follows.
The slope of the line is
Now check whether the inequality included origin or not.
Substitute in the inequality
0 is less than 3 which means that the inequality does include origin.
Kindly refer to the image attached.
The line represents the inequality Option (d) is correct.
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear inequalities
Keywords: numbers, slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.