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Write an equation of the line that passes through the given point and has the given slope.

2,6, slope4

Short Answer

Expert verified

The equation of the line that passes through the point2,6 and has the slope4 is y=4x+2.

Step by step solution

01

Step 1. Write the equation of the line that passes through the point x1,y1 and has the slope m.

The equation of the line that passes through the pointx1,y1 and has the slopem is given by:

yy1=mxx1

02

Step 2. Write the equation of the line that passes through the point 2,−6 and has the slope −4.

The slope of the line is 4. Therefore, the value ofm is 4.

The given point is 2,6. Therefore, the values of x1and role="math" localid="1647413322828" y1are 2 and -6respectively.

Now substitute 4for m, 2 for x1and -6fory1 in the equationyy1=mxx1 to find the equation of the line.

role="math" localid="1647413491066" yy1=mxx1y6=4x2y+6=4x+8y=4x+86y=4x+2

Therefore, the equation of the line that passes through the point2,6 and has the slope4 is y=4x+2.

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