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IgorC [24]
2 years ago
8

What is the equation of the line? Use y = mx+b

Mathematics
2 answers:
Olegator [25]2 years ago
8 0

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

rjkz [21]2 years ago
7 0

\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}}

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