Question

BRAINLIEST find the equation of the line that passes through points : (-4,-2) and (-3,5)

Answer 1

Answer:

y = 7x + 26

Step-by-step explanation:

(Y2-Y1)/(X2-X1) = gradient of the line for (X1,Y1) and (X2,Y2)

(-4,-2) and (-3,5)

(5--2)/(-3--4)

(5+2)/(-3+4)

(7)/(1)

Gradient of line = 7

Y = 7x + c

Substitute either set of coordinates in to find c

Y = 7x + c at (-4,-2)

-2 = 7(-4) + c

-2 = -28 + c

-2 + 28 = c

26 = c

Y = 7x + c at (-3,5)

5 = 7(-3) + c

5 = -21 + c

5 + 21 = c

26 = c

Y = 7x + 26