Mathematics
The graph of a linear equation in x and y passes through (4, 0) and (0, 3). Find the value of k if the graph passes through (k, 1.5).
Answer
Steps of construction :
Plot the points (4, 0) and (0, 3) on graph.
Connect the points through a straight line.
Take a point Q (y = 1.5) and draw a line parallel to x-axis touching the graph at point R.
From point R draw a line parallel to y-axis and touching x-axis at point S (x = 2).
From graph R = (2, 1.5)
Comparing point R with (k, 1.5), we get :
k = 2.
Hence, the value of k = 2.
Related Questions
Draw the graph of 4x - 3y + 12 = 0 and use it to find the area of the triangle formed by the line and co-ordinate axes. Take 2 cm = 1 unit on both axes.
Use the table given alongside to draw the graph of a straight line. Find, graphically, the values of a and b.
x 1 2 3 a y -2 b 4 -5 Draw the graph of 5x + 6y - 30 = 0 and use it to find the area of the triangle formed by the line and coordinate axes.
Draw the graph of the equation y = 3x - 4. Find graphically
(i) the value of y when x = -1
(ii) the value of x when y = 5.