Mathematics, Paper-1(B)
(English Medium)
2 Marks Problems
1. Transform the equation 3x + 4y + 12=0 into (i) slope-intercept form (ii) intercept form.
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The equation of a line ax + by + c = 0 can be converted into slope-intercept form as y = m*x + c where m is the slope and c is the y-intercept. If the line is converted to the form x/a + y/b = 1, it is in intercept-intercept form with a and b being the x and y intercepts respectively.
The line we have here is 3x - 4y - 12 = 0
3x - 4y - 12 = 0
=> 4y = 3x - 12
=> y = (3/4)x - 3
the slope is 3/4 and the y-intercept is -3
3x - 4y - 12 = 0
=> 3x - 4y = 12
=> (3/12)x + (-4/12)y = 1
=> x/4 - y/3 = 1
The x intercept is 4 and the y-intercept is -3
The equation in the slope-intercept form is y = (3/4)x - 3 and in the intercept-intercept form is x/4 - y/3 = 1
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