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Write Linear Equations in Standard FormGoal • Use pointslope form to write equations in

Write pointslope form. Substitute 4 for y_{1}, 2 for m, and 2 for x_{1}. 
Step 3 Rewrite the equation in standard form.
Simplify. Collect variable terms on one side, constants on the other. 
√Guided Practice Complete the following exercise.
3. Write an equation in standard form of the line
through (3, 1) and (2, 4).
y  3x = 10
Write an equation of the specified line.
a. Line A b. Line B Solution a. Line A is a vertical line, so all points on the line have an xcoordinate of 3. An equation of the line is x = 3. 
b. Line B is a horizontal line, so all points on the line
have a ycoordinate of 6. An equation of the line is
y = 6.
Find the unknown coefficient in the equation of the line
shown. Write the completed equation.
Solution
Step 1 Find the value of A. Substitute the coordinates of
the given point for x and y in the equation. Solve
for A.
Write equation.

Step 2 Complete the equation.
4 x + 5y 5 3 Substitute 4 for A.
√Guided Practice Complete the following exercise.
4. Write equations of the horizontal and vertical lines
that pass through (10, 5).
Horizontal: y = 5; Vertical: x = 10
5. Find the missing coefficient in the equation of
the line that passes through (2, 2). Write the
completed equation.
6x + By = 4
B = 8; 6x + 8y = 4