Answer:
y= 8x +7
Step-by-step explanation:
slope-intercept form:
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.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Thus, gradient of the line
[tex] = \frac{39 - 23}{4 - 2} \\ = \frac{16}{2} \\ = 8[/tex]
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.
