To solve this equation, assume a range of values for x (say from -3 to +3). Substitute the value of x in the given equation to calculate the corresponding value of y. Repeat the procedure for each value of x in the range. Plot the set of values on a graph.
The y value of the point where the graph cuts the y-axis is the y-intercept.
To calculate the value of y when x = 16 5(16) + 4y = 12 4y = -68 y = -17
Solving the equation for y puts it into slope-intercept form, making it easy to answer the questions. 5x + 4y = 12 4y = 12 - 5x (subtract 5x from both sides) y = (-5/4)x + 3 (divide both sides by 4. This is y=mx+b form where m is slope, b is y-intercept.)
The slope is -5/4. The y-intercept is 3. The value of y when x=16 is -17. (y=-5/4*16+3 = -20+3)
Sending +5x to other side of the equation>>> 4y=12-5x , Sending 4 to other side of the equation >>> y=(12-5x)/4
I'll pick a couple values for x, and find the values for y. Picking x = 2, I get y = 1/2 = Picking x = -2, I get y = 11/2. Then the points (2, 1/2) and (-2, 11/2) are on the line y=(12-5x)/4. The slope of the line is then calculated as:
M = y2-y1 / x2-x1 = (11/2 - 1/2 ) / -2 - (-2)
m = 5/0 m = infinity that means the line is parallel to vertical axis.