Chapter 2: Q26. (page 105)

Write an equation in slope-intercept form for the line that satisfies each set of conditions
$Slope -5, y - intercept 11$

Short Answer

Expert verified

The equation of the line in slope intercept having slope as -5 and y-intercept as 11 is $y = - 5 x + 11$ .

Step by step solution

Step-1 – Apply the concept of slope-intercept form of a linear equation

The slope of a line is the ratio of the change in the y-coordinates to the change in the x- coordinates.

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

Step-2 – Substitute the value of slope

The given slope is -5. Hence substitute m in the equation $y = m x + b$ by -5.

Therefore, the slope intercept form of a linear equation becomes

$\begin{matrix} y = (- 5) x + b \\ y = - 5 x + b - - - - - (1) \end{matrix}$

Step-3 – Substitute the value of y-intercept

Given that the y-intercept is 11. Hence take the value of b as 11 in the slope intercept form of a linear equation.

Therefore, from equation (1) obtained in step 2, the slope intercept form is obtained as

$\begin{array}{r} y = - 5 x + b \\ \Rightarrow y = - 5 x + 11 \end{array}$

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Write an equation in slope-intercept form for the line that satisfies each set of conditions
$Slope -5, y - intercept 11$

Short Answer

Step by step solution

Step-1 – Apply the concept of slope-intercept form of a linear equation

Step-2 – Substitute the value of slope

Step-3 – Substitute the value of y-intercept

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Write an equation in slope-intercept form for the line that satisfies each set of conditions Slope -5,y-intercept 11

Short Answer

Step by step solution

Step-1 – Apply the concept of slope-intercept form of a linear equation

Step-2 – Substitute the value of slope

Step-3 – Substitute the value of y-intercept

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Logic and Functions

Statistics

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

Write an equation in slope-intercept form for the line that satisfies each set of conditions
$Slope -5, y - intercept 11$