Question

Write the equation of a line in slope intercept form giving the following:

A: m=2 (0,-7)

B: (3,-4) (-2,1)

C: f(2)=6 f(0)=5

Answer 1

Equation of a straight line is given as y = mx+c

m = slope or gradient or dy/dx or y2 - y1/ x2 - x1

c = intercept

y = 2x - 7

y = -x + 1

y = 2x - 10

Explanation:

Using y = mx+c

A. m=2 y=-7 x=0

-7= 2*0 + c

-7=c

y = 2*x - 7

y = 2x - 7

B. x1=3 x2=-2 y1=-4 y2=1

m = y2 - y1/ x2 - x1

m = 1+4 / -2-3

m = 5/-5 which is equal to -1

using any value for y and x, let's use x1 and y1

-2 = -1*3 + c

-2 = -3 + c

1 = c

y = -1*x + 1

y = -x + 1

C. x1=6 x2= 5 y1= 2 y2=0

m = y2 - y1/ x2 - x1

m = 0-2 / 5-6

m = -2/-1 which is equal to 2

using any value for y and x, let's use x1and y1

2 = 2*6 + c

2 = 12 + c

-10 = c

y = 2*x -10

y = 2x - 10