Question

Can someone help me please!!

Answer 1

Answer:

(-5, 4) slope = -3/5

Y = -.6x +1

Source: http://www.1728.org/distance.htm

(Scroll to the bottom for explanation)

Step-by-step explanation:

Answer 2

Answer:

y = (-3x/5) +1

Step-by-step explanation:

We know that the line passes through the point (-5 , 4)

AND

the slope is given to be -3/5

let's look at the slope a bit more

we know that the formula for slope of a line is Rise / Run

Which means that the rise of this line is -3 after spanning 5 units to the right

Hence, the line goes down 3 units after moving 5 units to the right

We know that to find the equation of a line through the point-slope equation, we need the slope as well as the y-intercept of the line

since we are already given the slope, we need to find the point where the line intersects the y-axis

Now, back to the given point the line passes through

this point has a x - coordinate of -5 and we know that after moving 5 units to the right, the line moves 3 units downwards

So, if the line moves 5 units to the right from the given point, it will reach the y- axis and we know that it's y-coordinate will decrease by 3

Hence, the y-intercept will be 3 units below the given y -coordinate

y - intercept = (4 - 3) =  1 = y-intercept

Now, using the slope-intercept formula to get the equation:

y =  (slope)*x + (y-intercept )

y = (-3/5)x + (1)

y = (-3x/5) + 1