Question to Find the Slope of given Straight line Equation

Here is a Linear Programming problem on Slope and y intercept of a Straight line, Straight line equation is a linear equation in two variables.
Slope is a the ratio of the altitude change to the horizontal distance between any two points on the line.
y-intercept is the y-value of the point where the graph of the function or a relation intercepts the y-axis of the rectangular coordinate system (x = 0)

Topic : Slope and y-intercept of a Straight Line

This the simple and direct question to find slope and y intercept.

Problem : Given straight line is x + y - 7 = 0, find the slope and y-intercept of the straight line.
Solution :
Slope is always denoted by 'm'
and Slope = - Co-efficient of x / Co-efficient of y
So from the given straight line x + y - 7 = 0
=> - 1/1 = - 1
Slope = - 1

Now to find y-intercept
put x = 0 in the given straight line linear equation,
So x + y -7 = 0
y - 7 = 0
=> y = 7
=> y-intercept is (0,7)

You can find lot more problems related to the linear programming problems in geometry help and algebra help.

Problem on Elliptical figure and find Maximum height.

An Elliptical figure with maximum height can be shown as given in the below word problem.

Topic : Geometry Construction of Ellipse.

For any word problem a geometrical construction is required to predict what the word problem mean.

Question : An arched footbridge over a 100 ft river is shaped like half an ellipse. The maximum height of the bridge over the river is 20 feet.

Find the height of the bridge over a point in the river exactly 25 ft from the center of the river.

Solution :















Geometrical construction for the word problem can be drawn as shown in the above figure,

Now let P be the point 25ft from center
So from the point P till the top of the bridge, we have (20 + 25) ft

= 45 ft

Height of bridge from P = 45 ft.


For more help leave your queries in comment box and Geometry help or calculus help will get back to you for your assistance.