The equation of the line that passes through the points
and
is 
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 passes through the points are
and 
Explanation:
The line passes the points that are
and 
The slope of the line can be obtained as follows.

The slope of the line ism = - 6.
The line passes through the point 
Substitute 3 for x, - 6 for m and -17 for y in equation y = mx + c to obtain the value of c.

The equation is y = - 6x + 1.
Hence, the equation of the line that passes through the points
and
is 
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 equation
Keywords: numbers, slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.