Chapter 2: Q31. (page 86)

Write an equation in slope-intercept form that satisfies each set of conditions.
31. Slope 4, passes through $(0, 6)$

Short Answer

Expert verified

Slope-intercept form is $y = 4 x + 6$

Step by step solution

Step-1 – Slope intercept form.

The slope intercept form of a straight line is $y = m x + c$ .

Wherem is the slope of the line and c is the y-intercept.

Step-2 – Determine the slope and y-intercept.

It is given that the slope of the line is 4.

It means $m = 4$

Also, the given coordinate is $(0, 6)$ .

We know that at y-intercept the value of x is 0.

It means $(0, 6)$ represents the y-intercept or we can say $c = 6$ .

Step-3 – Substitute 6 for c and 4 for m into the slope intercept form.

$y = 4 x + 6$

Hence, the slope-intercept form is $y = 4 x + 6$ .

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Write an equation in slope-intercept form that satisfies each set of conditions.
31. Slope 4, passes through $(0, 6)$

Short Answer

Step by step solution

Step-1 – Slope intercept form.

Step-2 – Determine the slope and y-intercept.

Step-3 – Substitute 6 for c and 4 for m into the slope intercept form.

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Write an equation in slope-intercept form that satisfies each set of conditions.31. Slope 4, passes through (0,6)

Short Answer

Step by step solution

Step-1 – Slope intercept form.

Step-2 – Determine the slope and y-intercept.

Step-3 – Substitute 6 for c and 4 for m into the slope intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Discrete Mathematics

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

Write an equation in slope-intercept form that satisfies each set of conditions.
31. Slope 4, passes through $(0, 6)$