Question

What is the equation of the line?

Use y = mx+b

Answer 1

Answer:

y = - $\frac{1}{2}$ x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = $\frac{2-3}{4-2}$ = - $\frac{1}{2}$

Note the line crosses the y- axis at (0, 4) ⇒ c = 4

y = - $\frac{1}{2}$ x + 4 ← equation of line

Answer 2

$\text{Hello there!}\\\\\text{Find the slope of the line:}}\\\\\text{We are using the y= mx + b equation to answer the question}\\\\\text{We know that b is the "beginning point", or point on the y axis}\\\\\text{Therefore, our b variable would be 4}\\\\\text{You can use slope formula to find the slope of the line}\\\\\text{A quicker was is to look at the line and use the rise over run technique}\\\\\text{We see that the slope is negative, so it would be a negative}$

$\text{Go down once and go to the right twice}\\\\\text{This makes your slope -1/2}\\\\\boxed{\text{Answer: -1/2 + 4}}$