The equation of the line that is perpendicular to the given line and has an x-intercept of 6 is .Option c is correct.
Further explanation:
The linear equation with slope m and intercept c is given as follows.
The formula for slope of line with points and can be expressed as,
Given:
The options of the equation are as follows.
a.
b.
c.
d.
Explanation:
The x-intercept is of the perpendicular line is 6. Therefore, the point of passing is
Substitute 0 for y, 6 for x and for m in equation y = mx + c.
The blue line intersect the points that are
The slope of the line can be obtained as follows.
The slope of the line is
The slope of the perpendicular line is the negative reciprocal of the slope of the line.
The equation of the line that is perpendicular to the given line and has an x-intercept of 6 is
Option (a) is not correct as it satisfy the equation of the graph.
Option (b) is not correct as it satisfy the equation of the graph.
Option (c) is correct as it satisfy the equation of the graph.
Option (d) is not correct as it satisfy the equation of the graph.
Hence, 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 equation, shaded region, y-intercept, graph, representation, origin, perpendicular, x-intercept 6.