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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=4x+6

Step by step solution

01

Step-1 – Slope intercept form.

The slope intercept form of a straight line is y=mx+c.

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

02

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.

03

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

y=4x+6

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

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