#### A line has intercepts (4, 0) and (0, -3). Find the equation of the line.

Anonymous

0

Sangeetha Pulapaka

1

STEP 1: Remember how to find the equation of the line from two points given.

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Now the points given are (4,0) and (0,-3).

STEP 2: find slope of the line from (4,0) (0,-3)

x_{1}= 4, y_{1}= 0; x_{2}= 0, y_{2}=-3

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{-3-0}{0-4}

\Rightarrow \frac{3}{4}

STEP 3: Plug in the value of m and (x,y) in the equation of the line in the slope-intercept form to find the y-intercept

0 = \frac{3}{4} \times 4 + b

b = -3

STEP 4: Write the equation of the line

y = \frac{3}{4} x -3