Question

Write the equation in slope-intercept form of the line that is parallel to the graph of each equation and passes through the given point. y = 1⁄2 x + 5 through (4,-5)

Answer 1

Y= 1/2x -7

Explanation:

Slope-intercept form of equation is Y= mx +c

Where (x,y) is (4,-5)

Slope m will be ½

Hence, now equation will be Y= mx +c

-5 = ½(4) +c

-5= 2 +c

-5-2=c

c = -7

Y= 1/2x -7

Answer 2

`\large\boxed{y=(1)/(2)x-7}`

Explanation:

The parallel lines have the same slope.

We have:

y = 1/2x + 5.

Therefore, the line has the equation:

y = 1/2x + b

Put the coordinates of the point (4, -5) to the equation:

-5 = (1/2)(4) + b

-5 = 2 + b subtract 2 from both sides

-5 - 2 = 2 - 2 + b

-7 = b → b = -7

Finally we have:

y = 1/2x - 7