Problemas
8. What is an equation of the line that passes through the points (2,6) and (1,3)
Roztwór
Regina
experto · Tutor durante 3 años
4.4
(275 Votos)
Respuesta
To find the equation of the line that passes through the points
and
, we can use the slope-intercept form of a linear equation, which is
, where
is the slope of the line and
is the y-intercept.Step 1: Calculate the slope of the line using the formula:
where
and
are the given points.Substituting the values of the given points:
Step 2: Use the slope-intercept form of a linear equation to find the equation of the line.
Substituting the value of the slope
:
Step 3: Substitute one of the given points into the equation to solve for the y-intercept
.Let's use the point
:
Step 4: Write the final equation of the line using the slope and y-intercept.
Therefore, the equation of the line that passes through the points
and
is
.