For exercises 37-44, write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form A x + B y = C with fractional coefficients. (See Example 3-4) Passes through 7 , − 6 and is parallel to the line defined by 2 x = 5 y − 4.
For exercises 37-44, write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form A x + B y = C with fractional coefficients. (See Example 3-4) Passes through 7 , − 6 and is parallel to the line defined by 2 x = 5 y − 4.
Solution Summary: The author explains how to calculate the equation of the line passing through (7,-6) and parallel to 2x=5y-4.
For exercises 37-44, write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form
A
x
+
B
y
=
C
with fractional coefficients. (See Example 3-4)
Passes through
7
,
−
6
and is parallel to the line defined by 2
x
=
5
y
−
4.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
University Calculus: Early Transcendentals (4th Edition)
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