Answered

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Mark thinks the equation y = 4+6x will match the red solid graph. Mia thinks it will match the blue dotted graph. who's right?

Mark Thinks The Equation Y 46x Will Match The Red Solid Graph Mia Thinks It Will Match The Blue Dotted Graph Whos Right class=

Sagot :

For the equation:

[tex]y=4+6x[/tex]

Identify the slope and the y-intercept by comparing with the general equation of a line with slope m and y-intercept b:

[tex]y=mx+b[/tex]

The slope of the given equation is equal to 6, and the y-intercept is equal to 4.

Both Mia and Mark agree that the y-intercept is equal to 4, but the slopes of the lines are different.

Notice that the red line has a negative slope, so, by no means that would be the graph of y=4+6x.

Observe that for a change of 1 step over the X-axis, the dotted line has an increase of 6 units over the Y-axis. You can look at the values for x=-1 and x=0. Therefore, the dotted line has a slope of 6 and a y-intercept equal to 4, which are precisely the values given by the equation.

Therefore, Mia is right.

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