Find an equation of the line through the given points. Write the equation in standard form.?

Question

Through (7, -5) and (0, -3)

Answer 1

m= -2/7
b= -3
y=-2/7x-3
7y=-2x-21
2x+7y= (-21)

Answer 2

first, find the slope:
m = (-3 - -5)/(0 - 7) = 2/-7

Then use either point:

y + 3 = -2/7(x - 0) and simplify.

y + 3 = -2/7 x

Standard form is Ax + By = C with A, B, and C as integers. Multiply through your equation by 7, move the x term to the left and the constant to the right.

7y + 21 = -2x
2x + 7y = -21

Answer 3

y = mx + c
m is the slope (how fast does y move when x moves by 1).
c is the intercept (the value of y when x=0).

From the second point (x=0, y=-3) we get the value of c = -3

for the slope, we see that when x moves by 7 units (from 0 to 7), y moves DOWN by 2 (from -3 to -5). Therefore, the slope is -2/7.

y = (-2/7)x - 3