Question

How do you write an equation in slope-intercept form of the line that passes through the points (1.5, -2.4) and (-0.5, 12)?

Answer 1

The equation of the line in slope-intercept form is `y= -7.2x+8.4.`

Explanation:

The slope of the line passing through `(1.5,-2.4) and (-0.5,12)` is `m= (y_2-y_1)/(x_2-x_1)= (12+2.4)/(-0.5-1.5)= -14.4/2= -7.2`

Let the equation of the line in slope-intercept form be `y=mx+c or y=-7.2x+c`.

The point (1.5,-2.4) will satisfy the equation . So, `-2.4= -7.2*1.5+c or c= 8.4`

Hence the equation of the line in slope-intercept form is `y= -7.2x+8.4.`
[Ans]