Question

Choose the linear equation in slope-intercept form given the graph.

Answer 1

The correct answer would be
A. y = 0.5x + 4.5

Answer 2

Let's find the slope of the line with the given points and the the y-intercept...

Slope⤵️

$\boxed{ \mathfrak{m = \frac{ \sf y_{2} - y_{1}}{ \sf x_{2} - x_{1}} }}$

$\tt \: (x_1,y_1)=(-3,3)\\\tt(x_2,y_2)=(2.02,5.51)$

$\mathfrak{m = \frac{ \sf5.51 - 3}{ \sf2.02 - ( - 3)} }$

$\mathfrak{m = \frac{ \sf2.51}{ \sf5.02} }$

$\mathfrak{m = 0.5 }$

Slope-intercept form

$\bf \: y = mx + b$

Where,

• m is slope
• b is y-intercept

In our case,

• m= 0.5
• b = 4.5

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Final equation:-

$\rm \: y = 0.5x + 4.5$

• Thus, Option A is the correct choice!!~