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Byju's Answer

Standard IX

Mathematics

Linear Equation in 2 Variables

At which poin...

Question

At which point does the straight line $y = x + 7$ intersect $X$ -axis?

(7, 0)

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(0, 7)

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(0, - 7)

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(- 7, 0)

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Solution

The correct option is D $(- 7, 0)$
When a line intersects $X$ -axis, $y$ -coordinate will be $0$ .
When $y = 0, x = - 7$
So the line intersects $X$ -axis at $(- 7, 0)$

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Similar questions

A line cuts the x - axis at A(7, 0) and the y - axis at B(0, -5). A variable line PQ is drawn perpendicular to AB. Cutting the x - axis at P and the y - axis at Q.
If AQ and BP intersect at R, the locus of R is

Q. A line cuts

x

-axis at

A (7, 0)

and the

y

-axis at

B (0, - 5)

. A variable line

P Q

is drawn perpendicular to

A B

cutting the

x

-axis at

P (a, 0)

and the

y

-axis at

Q (0, b)

. If

A Q

and

B P

intersect at

R

, the locus of

R

Q. Find the tangents and normal to the curve

y (x - 2) (x - 3) - x + 7 = 0,

at point (7,0) are

Q. A line intersects

x -

axis at

A (7, 0)

and

y -

axis at

B (0, - 5)

. A variable line

P Q

which is perpendicular to

A B

cutting

x -

axis at

P

and

y -

axis at

Q

. If

A Q

and

B P

intersect at

R

, find the locus of

R

Q. Plot the following points on the graph paper:

(i) (2,5)

(ii) (4, −3)

(iii) (−5, −7)

(iv) (7, −4)

(v) (−3, 2)

(vi) (7, 0)

(vii) (−4, 0)

(viii) (0, 7)

(ix) (0, −4)

(x) (0, 0)

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At which point does the straight line y=x+7 intersect X-axis?

The correct option is D (−7,0)When a line intersects X-axis, y-coordinate will be 0.When y=0,x=−7So the line intersects X-axis at (−7,0)

At which point does the straight line $y = x + 7$ intersect $X$ -axis?

The correct option is D $(- 7, 0)$
When a line intersects $X$ -axis, $y$ -coordinate will be $0$ .
When $y = 0, x = - 7$
So the line intersects $X$ -axis at $(- 7, 0)$