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Chapter 2: Q26. (page 105)

Write an equation in slope-intercept form for the line that satisfies each set of conditions

鈥�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=-5x+11.

Step by step solution

01

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=mx+bwhere m is the slope and b is the y-intercept.

02

Step-2 – Substitute the value of slope   

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

Therefore, the slope intercept form of a linear equation becomes

y=(鈭�5)x+by=鈭�5x+b鈭�鈭�鈭�鈭�鈭�(1)

03

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

y=鈭�5x+b鈬�y=鈭�5x+11

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