Question

Determine the equation of the line that goes through the following points. Write the final equation aslope-intercept form.(-2,6 ) and (4,-3)The equation is

Answer 1

The slope-intercept form is y = mx + b

Where m is the slope and b is constant represents y-intercept

given the points (-2, 6) and (4,-3)

So, the slope is = m

$m=\frac{6-(-3)}{-2-4}=\frac{9}{-6}=-\frac{3}{2}=-1.5$

So, y = -1.5 x + b

To find b substitute with one of the given points

So,

When x = -2 , y = 6

So,

6 = -1.5 * -2 + b

6 = 3 + b

b = 6 - 3 = 3

So, y = -1.5 x + 3

So, the equation of the line is y = -1.5 x + 3