SOLUTION: An equation of a line is y=5/3x+c. Determine the value of c when the line passes through the point F(4,-6). Describe your strategy.

Question 795462: An equation of a line is y=5/3x+c. Determine the value of c when the line passes through the point F(4,-6). Describe your strategy.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The given equation has three variables. Your given point, F, will give values to the variables x and y, leaving only the variable c as unknown. You would then just solve for c and simplify.

A clear method which you can choose, is solve for c FIRST. Substitute the values from F into the formula for c and evaluate.

Performing that described method:
. Point F on the line is given as (4,-6).
Solving for c,

Substituting with point F,

The equation in the two variables x and y, is

Drawing the graph is just a matter of indicating the y-intercept, which is c in your equation, and using the slope, .
Note, knowing the given point F, you can also graph the line by indicating (4,-6) on the cartesian plane and using the slope, . In this way, if you make your axes suitably, you can read the y-intercept directly from the graphed line.
RELATED QUESTIONS
Determine the y-intercept of each of the following lines. Express your answer as a... (answered by josgarithmetic)

The equation of another line ST passes through the point (5, 0) and is parallel to a line (answered by lwsshak3)

A line passes through the point (-2,4), and its y-intercept is (0,-6). What is the... (answered by mananth)

A line of slope passes through a point [6,3] the equation of the line is represented in... (answered by ankor@dixie-net.com)

a) Find the intersection point for equations 5x + 3y = 12 and 10x � 2y = 8. b) Find... (answered by nant_87)

1.Write the equation of a line perpendicular to x-axis that passes (0,-2). 2.Given... (answered by solver91311)

what isthe equation of the vertical line that passes through the point (-2, -1).... (answered by ewatrrr)

An equation of a line is y=mx-9. Determine the value of m when the line passes through... (answered by josgarithmetic)