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linate Geometry
equation of a straight line,
l is
6x-2y+3=0
(a) Write down this equation in the form of
y=mx+c
(b) The straight line
q is parallel to the line / and passes through the point
(1,2) Find the equation of
q.
(c) Find the coordinate of the point
B which is the intersection between the
x=2 and line
q.

linate Geometry $\newline$ equation of a straight line, $l$ is $6 x-2 y+3=0$ $\newline$ (a) Write down this equation in the form of $y=m x+c$ $\newline$ (b) The straight line $q$ is parallel to the line / and passes through the point $(1,2)$ Find the equation of $q$ . $\newline$ (c) Find the coordinate of the point $B$ which is the intersection between the $x=2$ and line $q$ .

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Write an equation for a parallel or perpendicular line

Full solution

Q. linate Geometry

\newline

equation of a straight line,

l

is

6 x-2 y+3=0

\newline

(a) Write down this equation in the form of

y=m x+c

\newline

(b) The straight line

q

is parallel to the line / and passes through the point

(1,2)

Find the equation of

q

.

\newline

(c) Find the coordinate of the point

B

which is the intersection between the

x=2

and line

q

.

Convert to slope-intercept form: (a) Convert $6x - 2y + 3 = 0$ to $y = mx + c$ form. $\newline$ $6x - 2y = -3$ $\newline$ $-2y = -6x - 3$ $\newline$ $y = 3x + \frac{3}{2}$
Find slope and y-intercept: (b) Since line q is parallel to line l, it has the same slope. $\newline$ Slope of line l $m$ : $3$ $\newline$ Point through which line q passes: $(1,2)$ $\newline$ Use $y = mx + b$ to find the y-intercept $b$ of line q. $\newline$ $2 = 3(1) + b$ $\newline$ $2 = 3 + b$ $\newline$ $b = 2 - 3$ $\newline$ $b = -1$

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