Question

How do you write the equation of a line given (-2,-5) (1,7)?

Answer 1

The equation of the line is `4x - y = -3`

Explanation:

The slope of the line passing through `(-2,-5) and (1,7)` is `m= (y_2-y_1)/(x_2-x_1)= (7+5)/(1+2)=12/4=4`

Let the equation of the line in slope-intercept form be `y=mx+c or y=4x+c`

The point (-2,-5) will satisfy the equation . So, `-5= 4*(-2)+c or c= -5+8= 3`

Hence the equation of the line in slope-intercept form is `y= 4x+3`

The equation of the line in standard form is `y= 4x+3. or 4x - y = -3` {Ans]