Page 153 - Mathematics

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(c) m = − , c = in the form of ax by c+ += 0
4
2
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(d) Gradient m = − and passes through the point (2, 2) in the form
y = mx + . c 5

(e) Passing through the point (6, 2) and having the same gradient as the Tanzania Institute of Education
line x + 3y − 13 0= in the form of ax by c+ += 0.

4. Find the equation of a line passing through the point (3, 2) with the same
gradient as a line passing through the points( 1,− − 3) and (4, 7). Express
your answer in the slope-intercept form.
2
5. Find the equation of a line with slope having the same y-intercept as the
3
line 2x − 5y + 20 0.= Give your answer in general form.

6. Find the equation of a straight line:
(a) Through the point (0, 5) with gradient 0.
(b) Through the point (2, 0) with undefined gradient.

(c) Joining the points (0, 4) and (3, 0). Express your answer in general
form.

Graphing linear equations
The graph of a linear equation can be drawn after obtaining at least two points
whose coordinates satisfy the given equation. Locate these points on an xy-plane
and join them to obtain a straight line. The following are the common methods
used to obtain the required points:
(a) Table of values

(b) Using x and y-intercepts

Graphing linear equations using table of values

c
The general linear equation has the form ax by+ += 0. The table of values of
x and y coordinates is easily constructed after re-writing the equation in the form
y = mx + . c Choose at least two values of x and determine the corresponding
values of y to obtain the points lying on the line. These points are presented in Mathematics Form One
a table which is generally referred to as a table of values.

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Mathematics form 1.indd 147
Mathematics form 1.indd 147 25/10/2024 09:51:59