ANSWER
[tex]y = 8x - 26 [/tex]
EXPLANATION
The given points are (3,-2) (4,6).
The slope formula is given by:
[tex] m= \frac{y_2-y_1}{x_2-x_1} [/tex]
We use the slope formula to get:
[tex]m = \frac{6 - - 2}{4 - 3} [/tex]
The slope is
[tex]m = 8[/tex]
We use the point-slope formula to get;
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y + 2 = 8(x - 3)[/tex]
We expand to get;
[tex]y = 8x - 24 - 2[/tex]
The slope-intercept form of the equation is:
[tex]y = 8x - 26[/tex]
