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 is m =
.
The line passes through the point
.
Substitute 9 for x,
for m and -1 for y in equation y = mx + c to obtain the value of c.

Hence, the equation of the line that passes through the points
and
is
.
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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.