Slope & y-intercept of a Line
Since, we have already discussed the slope intercept form of
the equation of a line; we will now learn how to find the slope
& y-intercept for any given equation of line.
Recall that, the length of the intercept made by of a line on the
Y-axis is called its y-intercept & using Slope Intercept form the
equation of a line with slope or gradient m and making an
y-intercept of c units is given by y = mx + c.
If the equation of the given line is a x + by + d = 0.
We rewrite the given equation in the slope intercept form by taking the term containing, x & constant, d on the other side of the equation i.e. by = – a x – d or y = – d or y = +
& then compare this with y = mx + c we have slope m = & y intercept c=
Let us take a few examples.
- Find the slope & y-intercept of the line x+y=7.Here, we can rewrite the equation as y = – x + 7 = (-1)x + 7.Hence here slope m = (-1) & y-intercept, c = 7.
- Find the slope & y-intercept of the line 4x + 2y = 8.Here, we can rewrite the equation as 2y = – 4x + 8 = (-4)x + 8.or y = (-2)x + 4.Hence here slope m = (-2) & y-intercept, c = 4.
- Find the slope & y-intercept of the line 7x + 8y – 15 = 0.Here, we can rewrite the equation as 8y = –7x + 15 = (-7)x + (15). y= & y-intercept, c = .Hence here slope m = & y-intercept, c= .
- Here, we can rewrite the equation as y = (0)x + 0.Hence here slope, m = 0 & y-intercept, c = 0.Find the slope & y-intercept of the line y = 0.
- Find the slope & y intercept of the line x + y – 75 = 8.
- Find the slope & y intercept of the line 3x – 7y + 105 =0.
- Find the slope & y intercept of the line 10x + 2y =26.
- Find the slope & y intercept of the line 15x – 3y + 75 = 0.
- Find the slope & y intercept of the line 24x + 8y =96.
- Slope m = (-1), y-intercept = 83.
- Slope m = , y-intercept =15.
- Slope m = (-5), y-intercept =13.
- Slope m = 5, y-intercept =25.
- Slope m = (-3), y-intercept = 12.
Give Your Child The eTutorWorld Advantage
Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. Come to eTutorWorld for Expert Tutors and best K-12 Online Tutoring Services in the comfort and safety of your home at an affordable cost. Find a tutor online for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. Get free printable math and science worksheets in pdf format and SCAT Practice Tests. Sign up for a Free Trial Lesson Today!
© 2018 eTutorWorld - Online Tutoring and Test Prep | All rights reserved