Question

Match the information on the left with the appropriate equation on the right.

Answer 1

Explanation:

1). Equation of a line which has slope 'm' and y-intercept as 'b' is,

y = mx + b

If slope 'm' = 1 and y-intercept 'b' = -3

Equation of the line will be,

y = x - 3

x - y = 3

2). Equation of a line having slope 'm' and passing through a point (x', y') is,

y - y' = m(x - x')

If the slope 'm' = 1 and point is (-1, 2),

The the equation of the line will be,

y - 2 = 1(x + 1)

y = x + 1 + 2

y = x + 3

x - y = -3

3). Equation of a line passing through two points
`(x_1, y_1)` and
`(x_2,y_2)` will be,

`y-y_1=((y_2-y_1))/((x_2-x_1))(x-x_1)`

If this line passes through (-2, 3) and (-3, 4),

`y-3=((4-3))/((-3+2))(x+2)`

y - 3 = -1(x + 2)

y = -x - 2 + 3

y = -x + 1

x + y = 1