Use point-slope form to write an equation of the given line. Solve each equation for .

Question

Use point-slope form to write an equation of the given line. Solve each equation for  .

Quizplus · Accepted Answer

A) The point-slope form is given by:

y - y1 = m(x - x1)

where (x1,y1) is the given point and m is the slope.

The given point is (7,3) and the slope is -5/2. Therefore, the equation of the line is:

y - 3 = (-5/2)(x - 7)

Simplifying, we get:

y = (-5/2)x + (25/2)

To solve for 11ec187c_74ec_5765_b8be_53994d7d84b3_TBX8672_00, substitute y = 11ec187c_74ec_5765_b8be_53994d7d84b3_TBX8672_00 and solve for x:

11ec187c_74ec_5765_b8be_53994d7d84b3_TBX8672_00 = (-5/2)x + (25/2)

Multiplying both sides by 2, we get:

22ec187c_74ec_5765_b8be_53994d7d84b3_TBX8672_00 = -5x + 25

Subtracting 25 from both sides, we get:

22ec187c_74ec_5765_b8be_029dada7b155_TBX8672_00 = -5x

Dividing both sides by -5, we get:

11ec187c_74ec_5765_b8be_4758b7249e93_TBX8672_00 = x

Therefore, 11ec187c_74ec_5765_b8be_4758b7249e93_TBX8672_00 = -4.4 is the solution.

Use Point-Slope Form to Write an Equation of the Given