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8. The equation of a straight line passing through the point (2,-7) and parallel to

x-axis is

(a) x = 2
By Remi

8. The equation of a straight line passing through the point (2,-7) and parallel to

x-axis is

(a) x = 2

(c) y-7

(b) x -7

(d) y 2​

About the author
Remi

Divide B.(-110)÷11
I will mark u as brainlist if u help me​



Find the ratio in which the point P(3/4,5/12) divides the line segment joining the point A (-1) and
(2,-5).​

1 thought on “8. The equation of a straight line passing through the point (2,-7) and parallel to<br /><br />x-axis is<br /><br />(a) x = 2<br /”

  1. Correct Statement is

    The equation of a straight line passing through the point (2,-7) and parallel to x-axis is

    (a) x = 2

    (c) y = – 7

    (b) x = 7

    (d) y = 2

    [tex]\large\underline{\sf{Given- }}[/tex]

    A line

    • passes through the point (2, – 7)

    and

    • parallel to x- axis.

    [tex]\large\underline{\sf{To\:Find – }}[/tex]

    • Equation of line.

    Concept Used :-

    Slope – point form of a line

    Let us assume a line which passes through the point (a, b) and having slope ‘m’, then equation of line is

    [tex] \sf \: y – b \: = \: m(x – a)[/tex]

    [tex]\large\underline{\sf{Solution-}}[/tex]

    Given that

    • A line passes through the point (2, – 7) and parallel to x – axis.

    Since,

    • Line is parallel to x- axis.

    [tex]\rm :\implies\:m \: = \: 0[/tex]

    Now,

    We know that

    • Equation of line is given by

    [tex]\rm :\longmapsto\:y – b \: = \: m(x – a)[/tex]

    where,

    [tex]\rm :\longmapsto\:a \: = \: 2[/tex]

    [tex]\rm :\longmapsto\:b \: = \: – \: 7[/tex]

    [tex]\rm :\longmapsto\:m \: = \: 0[/tex]

    On substituting all these values in above equation, we get

    [tex]\rm :\longmapsto\:y \: – \: ( – 7) = 0 \times (x – 2)[/tex]

    [tex]\rm :\longmapsto\:y + 7 = 0[/tex]

    [tex]\rm :\implies\:y \: = \: – \: 7[/tex]

    [tex]\overbrace{ \underline { \boxed { \rm \therefore The \: equation \: of \: line \: is \: y \: = \: – \: 7}}}[/tex]

    ─━─━─━─━─━─━─━─━─━─━─━─━─

    Additional Information

    Different forms of equations of a straight line

    1. Equations of horizontal and vertical lines

    • Equation of the lines which are horizontal or parallel to the X-axis is y = a, where a is the y – coordinate of the points on the line.
    • Similarly, equation of a straight line which is vertical or parallel to Y-axis is x = a, where a is the x-coordinate of the points on the line.

    2. Point-slope form equation of line

    • Consider a non-vertical line L whose slope is m, A(x,y) be an arbitrary point on the line and P(a, b) be the fixed point on the same line. Equation of line is given by y – b = m(x – a)

    3. Slope-intercept form equation of line

    • Consider a line whose slope is m which cuts the Y-axis at a distance ‘a’ from the origin. Then the distance a is called the y– intercept of the line. The point at which the line cuts y-axis will be (0,a). Then equation of line is given by y = mx + a.

    4. Intercept Form of Line

    • Consider a line L having x– intercept a and y– intercept b, then the line passes through X– axis at (a,0) and Y– axis at (0,b). Equation of line is given by x/a + y/b = 1.

    5. Normal form of Line

    • Consider a perpendicular from the origin having length p to line L and it makes an angle β with the positive X-axis. Then, equation of line is given by x cosβ + y sinβ = p.

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