Answer:
y-3=7/6(x-4)
Explanation:
the equation for point-slope form is y-y1=m(x-x1)
first let's find the slope (m)
the formula for slope is (y2-y1)/(x2-x1)
the given points: (4,3) and (-2,-4)
label the points:
x1=4
y1=3
x2=-2
y2=-4
now substitute into the equation
m=(-4-3)/(-2-4)
m=-7/-6
m=7/6
the slope is 7/6
now substitute the numbers into the equation for point-slope form
y-3=7/6(x-4)
Hope this helps :)!