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Find the equation of a line that passes through the points (1,-2) and (3,-4). Express your final answer in slope-intercept form.

Find the equation of a line that passes through the points (1,-2) and (3,-4). Express-example-1
User Juan Boero
by
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2 Answers

1 vote

Answer:

y=-x-1

Explanation:

m=(y2-y1)/(x2-x1)

m=(-4-(-2))/(3-1)

m=(-4+2)/2

m=-2/2

m=-1

y-y1=m(x-x1)

y-(-2)=-1(x-1)

y+2=-x+1

y=-x+1-2

y=-x-1

User SolaceBeforeDawn
by
7.2k points
1 vote


\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= (y_2-y_1)/(x_2 -x_1) = (-4+2)/(3-1) = -\frac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}

User Scud
by
8.0k points

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