Question

The line through (4, 3) with slope -4 5

Answer 1

Answer: If the slope is -4.5 the equation of the line is y = -4.5x +21

If the slope is
`(-4)/(5)` the equation of the line is y = -0.8x + 6.2

Explanation:

Im not sure if the slope is -4.5 or
`(-4)/(5)` but I'll solve for both just in case

To find the equation of the line with the given information we use the point-slope formula:
`y-y_1=m(x-x_1)` where m is the slope

(4,3) (x1,y1) m = -4.5 or
`(-4)/(5)`

`y-3=-4.5(x-4)` distribute -4.5

`y-3=-4.5x+18\\+3=+3\\y=-4.5x+21`add 3 on both sides to leave y by itself

So the equation of the line is y = -4.5x +21

(4,3) (x1,y1) m =
`(-4)/(5)` or -0.8

`y-3=-0.8(x-4)` distribute -0.8

`y-3=-0.8x+3.2\\+3=+3\\y=-0.8x+6.2` add 3 on both sides to leave y by itself

So the equation of the line is y = -0.8x + 6.2