Answer:
the equation of the line in slope-intercept form is;
![y=8x-26](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vytq0jsv96b16o3latij6c8txqqeg5q2eq.png)
Explanation:
First use the formula for the slope of the segment that joins the two given points:
![slope=(y_2-y_1)/(x_2-x_1) =(6-(-2))/(4-3)=(8)/(1) =8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1suougi17zcbrjqg5rr2a41zc8n8eitszo.png)
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):
![y-y_0=m\,(x-x_0)\\y-(-2)=8\,(x-3)\\y+2=8\,(x-3)\\y=8x-24-2\\y=8x-26](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8kvtmo1b2wx97oy8x3tys6qzin5s5k5cpa.png)