Chapter 2: Q23. (page 79)

Write an equation in slope-intercept form for the line that satisfies each set of conditions.
Slope $3$ , passes through $(0, - 6)$

Short Answer

Expert verified

The equation of the required straight line in slope-intercept form is $y = 3 x - 6$ .

Step by step solution

– State the concept

The slope intercept form of a straight-line equation is $y = m x + c$ where $m$ is the slope and $c$ is the y-intercept.

The equation of a straight-line having slope $m$ and passing through the point $(h, k)$ is given as $y - k = m (x - h)$ .

– List the given data

It is given that the slope of the line is $3$ and the line passes through $(0, - 6)$ .

Then, $m = 3$ and $(h, k) = (0, - 6)$ .

– Write the equation

Put $m = 3$ and $(h, k) = (0, - 6)$ in $y - k = m (x - h)$ to get,

y - (- 6) = 3 (x - 0)

$y + 6 = 3 x$ (Simplify)

$y + 6 - 6 = 3 x - 6$ (Subtract 6 from both sides)

$y = 3 x - 6$ (Simplify)

So, the required equation of the straight line in slope-intercept form is $y = 3 x - 6$ .

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Write an equation in slope-intercept form for the line that satisfies each set of conditions.
Slope $3$ , passes through $(0, - 6)$

Short Answer

Step by step solution

– State the concept

– List the given data

– Write the equation

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Write an equation in slope-intercept form for the line that satisfies each set of conditions.Slope 3, passes through 0,-6

Short Answer

Step by step solution

– State the concept

– List the given data

– Write the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Logic and Functions

Mechanics Maths

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

Write an equation in slope-intercept form for the line that satisfies each set of conditions.
Slope $3$ , passes through $(0, - 6)$