Question

a line that passes through (-3,-2) and is parallel to y=x+2

plsss i need help i’m so confused

Answer 1

Answer:

a line that passes through (-3,-2) and is parallel to y=x+2

plsss i need help i’m so confused

Answer 2

Correct Question:

• A line passes through (-3, -2) and is parallel to y = x + 2. Find the equation of the line.

Solution:

Given Equation:

→ y = x + 2

Comparing with y = mx + c, we get:

→ m = 1 [slope]

→ c = 2 [y-intercept]

Since the line y = x + 2 and the unknown line are parallel, their slope must be equal.

Now, we know the slope of the line and one point through which the unknown line passes through.

So, we will be using point-slope formula to solve it.

→ y - y₁ = m(x - x₁)

Where:

→ m = 1

→ x₁ = -3

→ y₁ = -2

Substituting the required values into the formula, we get:

→ y + 2 = 1(x + 3)

→ y + 2 = x + 3

→ x - y + 1 = 0

★ So, the equation of the line parallel to y = x + 2 and passing through (-3, -2) is x - y + 1 = 0

Answer:

• Required equation of line is x - y + 1 = 0