Answer:
the equation of the line in slope-intercept form is;
[tex]y=8x-26[/tex]
Step-by-step explanation:
First use the formula for the slope of the segment that joins the two given points:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{6-(-2)}{4-3}=\frac{8}{1} =8[/tex]
now that we have the slope, we can use the point-slope form of a line to find the line with slope 8 that passes through any of the given points, for example through (3, -2):
[tex]y-y_0=m\,(x-x_0)\\y-(-2)=8\,(x-3)\\y+2=8\,(x-3)\\y=8x-24-2\\y=8x-26[/tex]
