Question

which graph represents (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis-pairs that make the equation y = 0.5x+5y=0.5x+5y, equals, 0, point, 5, x, plus, 5 true?

Answer 1

The graph of $\mathbf{y = 0.5x + 5}$ has a slope of 0.5, and a y-intercept of 5

The equation is given as:

$\mathbf{y = 0.5x + 5}$

A linear equation is represented as:

$\mathbf{y = mx + c}$

Where m represents the slope, and c represents the y-intercept

So, by comparison:

m = 0.5

c = 5

This means that:

The slope is 0.5, and the y-intercept is 5

Hence, the graph of $\mathbf{y = 0.5x + 5}$ has a slope of 0.5, and a y-intercept of 5

See attachment for the graph of $\mathbf{y = 0.5x + 5}$

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