Question

Write the point-slope form of the equation of the line through the given points.

through: (4,3) and (-2,-4)

Answer 1

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 :)!