3 years ago

BRAINLIEST TO THE BEST ANSWER !!!!

Mathematics

1 answer:

TiliK225 [7]3 years ago

4 0

Which equation am I looking at

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Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?

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$\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We have the slope $m=\dfrac{1}{2}$ and the point $(-2, 4)$ .

Substitute:

$y-4=\dfrac{1}{2}(x-(-2))$

$y-4=\dfrac{1}{2}(x+2)$ - point-slope form

Convert to the slope-intercept form (y = mx + b):

$y-4=\dfrac{1}{2}(x+2)$ <em> use the distributive property</em>

$y-4=\dfrac{1}{2}x+1$ <em>add 4 to both sides</em>

$y=\dfrac{1}{2}x+5$ - slope-intercept form

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