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Graph the point-slope equation below. y - 4 = -4/5(x-1)

User Johnklawlor
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1 Answer

6 votes
6 votes

Given:

y - 4 = -4/5 (x - 1)

We need to find the x and y-intercept of the above.

To find the x-intercept, substitute y=0 into the equation and solve for x.

That is;

0 - 4 = -4/5 (x -1)

Mutiply both-side by -5/4


-4*-(5)/(4)=-(5)/(4)*-(4)/(5)(x-1)

5 = x - 1

Add 1 to both-side of the equation.

5 + 1 = x

6=x

x=6

Hence, the x-intercept is (6, 0).

Next, is to find the y-intercept.

Substitute x=0 and solve for y.

y - 4 = -4/5 (0 - 1)

y - 4 = 4/5

Add 4 to both-side of the equation.

y = 4/5 + 4


y=(4+20)/(5)=(24)/(5)=4.8

The y-intercept is ( 0, 4.8)

Attached below is the graph of the equation:

Graph the point-slope equation below. y - 4 = -4/5(x-1)-example-1
User Yassine Elouafi
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