Question

What is the answer to questions 4-6? Please help

Answer 1

4- y= -2+1

5- y=-5

6- y= -1/2x+4

Answer 2

Explanation:

Slope intercept form of a line passing through points
`\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )` is given by
`y=mx+b` where b is the y-intercept i.e, point at which the line intersects the y-axis , m represents the slope given by
`m=(y_2-y_1)/(x_2-x_1)`

4.

b = 1

`m=(y_2-y_1)/(x_2-x_1)=(-1-5)/(-1-2)=(-6)/(-3)=2`

Equation is y=2x+1

5.

b = - 5

m = 0 as the line is parallel to x - axis

Equation is y = - 5

6.

b = 4

`m=(y_2-y_1)/(x_2-x_1)=(2-4)/(4-0)=(-2)/(4)=(-1)/(2)\\y=(-x)/(2)+4`

Equation is
`y=(-x)/(2)+4`