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Chapter 4: Q67. (page 188)

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

Slope -43 passes through 6,-8.

Short Answer

Expert verified

The solution is 3y=-4x.

Step by step solution

01

Step 1- Consider the set of conditions.

Consider the slope m=-43 passes through the points x,y=6,-8.

02

Step 2- Step description.

The slope intercept form is given by the formula y=mx+b, where m is the slope.

03

Step 3- Step description.

Substitute the value of mand the set of points in the slope intercept equation as follows:

y=mx+b鈭�8=鈭�43(6)+b鈭�8=鈭�8+bb=鈭�8+8b=0

Now substitute the value of slope and bin the slope intercept form as follows:

y=mx+by=鈭�43(x)+03y=鈭�4x.

Thus, the slope intercept form is 3y=-4x.

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