Which equation matches the graph?

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SMLLYHDGGO SMLLYHDGGO · Answer 1

Answer:

A.

Step-by-step explanation:

The Y-intercept is 3 so C and D are automatically are wrong because their Y intercept is 2.

The slope is 2x because you count the points that the line goes through.

For example: From (-1,1) count up and right until you get another point,

count using [tex]\frac{Rise}{Run}[/tex] the rise of this equation is 2 and the run is 1 so [tex]\frac{2}{1} = 2\\[/tex]

Rise = Vertical

Run = Horizontal

Because the slope is increasing the slope is positive meaning B is incorrect because it's slope is negative.

Hope this was clear and helped you out!

RAPHEALNWOBIGO RAPHEALNWOBIGO · Answer 2

The equation that matches the graph is y = -2x + 3

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept

The line passes through the point (0, 3) and (-1.5, 0). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{0-3}{1.5-0} (x-0)\\\\y=-2x+3[/tex]

The equation that matches the graph is y = -2x + 3

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