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mr Goodwill [35]
3 years ago
14

Find the equation of the linear function represented by the table below in slope-intercept form.

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0

Answer:

y= 8x +7

Step-by-step explanation:

<u>slope-intercept form:</u>

y= mx +c, where m is the gradient (or slope) and c is the y-intercept.

Since it is a linear function, the gradient of any 2 points would be equal.

gradient =  \frac{y1 - y2}{x1 - x2}

Thus, gradient of the line

=  \frac{39 - 23}{4 - 2}  \\  =  \frac{16}{2}  \\  = 8

Subst. m=8 into the equation:

y= 8x +c

To find the value of c, substitute a pair of coordinates.

When x=0, y= 7,

7= 8(0) +c

c= 7

Thus, the equation of the linear function is y= 8x +7.

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