Question

Find the equation of a line that contains the points (−2,−4) and (−5,4). Write the equation in slope-intercept form, using fractions when required.

Answer 1

The equation would be  y+ 3/8x+9/4.

Lets try to explain in the further steps to calculate the equation,

Slope formula: (y₂ - y₁) / (x₂ - x₁)

First, plug in these values of the two given points.

$= > (-5+2) / (4+4)\\= > -3/8$

Slope = -3/8

To find the equation of the line, (y- y1) = m* (x-x1)

So by putting the values into the above equation we get,

$= > (y-4) = -3/8(x+5)\\= > y-4 = -3/8x - 15/8\\= > y + 3/8x + 4 - 15/8\\= > y + 3/8x + 9/4$

Hence the equation is $y+ 3/8x+9/4.$

Learn more about slope intercept equations on:

https://brainly.com/question/1884491

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