# Slope Intercept Form of a Line

## Trending Questions

**Q.**

The equations of the lines which pass through the point $\left(3,-2\right)$ and are inclined at $60\xb0$ to the line $\sqrt{3}x+y=1$ are

$y+2=0,\sqrt{3}x-y-2-3\sqrt{3}=0$

$x-2=0,\sqrt{3}x-y+2+3\sqrt{3}=0$

$\sqrt{3}x-y-2-3\sqrt{3}=0$

None of the above

**Q.**

Find the equation of a line making an angle of 150∘ with the x-axis and cutting off an intercept 2 from y-axis.

**Q.**The equation of the line whose slope is 3 and which cuts off an intercept 3 from the positive x - axis is

- y=3x+9
- None of these
- y=3x-9
- y=3x+3

**Q.**

Find the equations of the straight lines which pass through (4, 3) and are respectively parallel and perpendicular to the x-axis.

**Q.**

Find the equation of the line passing through (2, 2√3) and inclined with x-axis at an angle of 75∘.

**Q.**

If a line makes angles of $30\xb0$ and $45\xb0$ with x-axis and y-axis, then the angle made by it with z-axis is

$45\xb0$

$60\xb0$

$120\xb0$

None of these

**Q.**Find graphically, the maximum value of Z = 2x + 5y, subject to constraints given below:

2x + 4y ≤ 8

3x + y ≤ 6

x + y ≤ 4

x ≥ 0, y ≥ 0 [CBSE 2015]

**Q.**

At which point the line $\frac{x}{a}+\frac{y}{b}=1,$ touches the curve $y=b{e}^{-\frac{x}{a}}$

$\left(0,0\right)$

$\left(0,a\right)$

$\left(0,b\right)$

$\left(b,0\right)$

**Q.**

Find the equation of a line that has y-intercept-4 and is parallel to the line joining (2, -5) and (1, 2).

**Q.**

The line parallel to the $X$-axis and passing through the point of intersection of the line $ax+2by+3b=0$ and $bx-2ay-3a=0$, where $(a,b)\ne (0,0)$, is

Above the$X-$axis at a distance of$\frac{3}{2}$

Above the$X-$-axis at a distance of $\frac{2}{3}$

Below the $X-$axis at a distance of $\frac{2}{3}$

Below the$X-$axis at a distance of $\frac{3}{2}$

**Q.**

Find the equation of the line parallel to x-axis and having intercept -2 on y-axis.

**Q.**

The area of the triangle bounded by the straight line $\mathrm{ax}+\mathrm{by}+\mathrm{c}=0$, $\left(a,b,c\ne 0\right)$ and the coordinate axes is equal to:

$\frac{1}{2}\left|\frac{{\mathrm{c}}^{2}}{\mathrm{ab}}\right|$

$\frac{1}{2}\left|\frac{{\mathrm{a}}^{2}}{\mathrm{ab}}\right|$

$\frac{1}{2}\left|\frac{{\mathrm{b}}^{2}}{\mathrm{ab}}\right|$

$1$

**Q.**The angle(s) formed by the positive y−axis and the tangent to y=x2+4x−17 at (52, −34) is(are)

- tan−1(9)
- π2−tan−1(9)
- π2+tan−1(9)
- π−tan−1(9)

**Q.**

Find the equation of the line which intercepts a length 2 on the positive direction of the x-axis and is inclined at an angle of 135∘ with the positive direction of y-axis.

**Q.**

Find the equations of the bisectors of the angles between the coordinate axes.

**Q.**The equation of the line parallel to the line joining (4, 2) and (2, 4) and whose y-intercept is 4 units along positive y- axis is

- y+x+4=0
- x−y+4=0
- 2x+y=0
- y+x−4=0

**Q.**

Find the equation of the straight line intersecting y-axis at a distance of 2 units above the origin and making an angle of 30∘ with the positive direction of the x-axis.

**Q.**The slope intercept form of the line x2+y4=1 is

- y=−2x+4
- y=2x+4
- y=4x+2
- y=−4x+2

**Q.**

What is Tangential?

**Q.**

Two lines passing through the point (2, 3) intersects each other at an angle of 60°. If slope of one line is 2, find equation of the other line.

**Q.**

What are the three methods used to graph a linear equation?

**Q.**

The perpendicular from the origin to a line meets it at the point (– 2, 9), find the equation of the line.

**Q.**The equation of a straight line(s) passing through (1, 2) and having intercept of length 3 units between the straight lines 3x+4y=24 and 3x+4y=12, is

- y=2
- x=1
- 7x+24y+41=0
- 7x−24y+41=0

**Q.**

Find the equations to the straight lines which pass through the origin and are inclined at an angle of 75∘ to the straight line x+y+√3(y−x)=a.

**Q.**

Find the equation of a straight line:

(i) with slope 2 and y-intercept 3; (ii) with slope -1/3 and y-intercept -4.

(iii) with slope -2 and intersecting the x-axis at a distance of 3 units to the left of origin.

**Q.**The equation(s) of the straight line passing through (−2, −7) and having intercept length of 3 units between the straight lines 4x+3y=12 and 4x+3y=3 is/are

- 7x+24y+182=0
- x+2=0.
- y+7=0
- 24x+7y+97=0

**Q.**

Find the equation of a line which makes an angle of tan−1 (3) with the x-axis and cuts off an intercept of 4 units on negative direction of y-axis.

**Q.**If the vertices of a triangle are A(10, 4), B(−4, 9) and C(−2, −1), then the equation of its altitudes are

- x−5y+10=0
- 12x+5y+3=0
- 14x+5y+23=0
- 14x−5y+23=0

**Q.**The value of [(√3+√2)6] is

( Here, [.] represents the greatest integer function )

**Q.**

Find the equation of the straight line which has y-intercept equal to 43 and is perpendicular to 3 x−4 y+1=0.