Question

I need help asap!! I need help with lines 1-4☹️

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The slope- intercept equation of line 1, 2, 3 and 4.

Given:

To find- the slope - intercept equation, we will be following the steps below:

Step 1

Identify any two points on the line.

Step 2

Find the slope of the line using the formula;

`slope(m)=(y_2-y_1)/(x_2-x_1)`

Step 3

Find the intercept of the line using the slope in step 1 and any point on the line.

Step 4

Form the equation by substituting the slope and intercept into the formula y=mx + c

That is;

Line 1

(-3, -2) and (0, -3)

x₁ = -3 y₁=-2

x₂=0 y₂=-3

`slope(m)=(-3-(-2))/(0-(-3))=(-1)/(3)=-(1)/(3)`

Observe that line 1 cut across the y-axis at y=-3

Hence, the y-intercept (b) = -3

The equation of line 1 is:

`y=-(1)/(3)x-3`

Line 2

(-2, -2) and (0, 0)

x₁ = -2 y₁=-2

x₂=0 y₂=0

`slope(m)=(0+2)/(0+2)=(2)/(2)=1`

Line 2 passes through the origin, this implies that the y-intercept is 0.

Hence, the equation of line 2 is y= x

Line 3

ANSWER

Line 1 D: -1/3 x - 3

Line 2 I: y=x