The equation of a straight line whose y intercept is 3 and inclined at an angle of 45- to the x-axis isA- y-x-3B- y-x-1 C- y-45 x-3D- y-x-45

The correct option is A y = x + 3 Given , nbsp; y intercept = 3 = c θ nbsp;=45^∘ nbsp; ⇒ nbsp;Slope(m) = tan 45^∘ = 1 Equation of the line in slope ...

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Standard X

Mathematics

Slope of a Line

The equation ...

Question

The equation of a straight line whose y intercept is 3 and inclined at an angle of $45^{\circ}$ to the x-axis is

y = x - 1

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y = x + 3

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y = 45x + 3

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y = x + 45

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Solution

The correct option is B
y = x + 3

Given ,
y-intercept = 3 = c
$θ$ = $45^{\circ}$

$\Rightarrow$ Slope(m) = tan $45^{\circ}$ = 1
Equation of the line in slope - intercept form is:
y = mx + c
$∴$ y = x + 3

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The equation of a straight line whose y intercept is 3 and inclined at an angle of 45∘ to the x-axis is

The correct option is B y = x + 3 Given , y-intercept = 3 = c θ =45∘ ⇒ Slope(m) = tan 45∘ = 1 Equation of the line in slope - intercept form is: y = mx + c ∴ y = x + 3

The equation of a straight line whose y intercept is 3 and inclined at an angle of $45^{\circ}$ to the x-axis is

The correct option is B
y = x + 3

Given ,
y-intercept = 3 = c
$θ$ = $45^{\circ}$

$\Rightarrow$ Slope(m) = tan $45^{\circ}$ = 1
Equation of the line in slope - intercept form is:
y = mx + c
$∴$ y = x + 3