The equation of line in point slope form is y - 4 = 7x - 56
Solution:
Given that m = 7 and point is (8, 4)
We have to find the equation of line in point slope form
It emphasizes the slope of the line and a point on the line
The point slope form is given as:
![y - y_1 = m(x - x_1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4exoxzl9wyc78rb7vje3c9oxdf7c81fpof.png)
Where "m" is the slope of line
Substitute m = 7 and (x, y) = (8, 4) in above point slope form
![y - 4 = 7(x - 8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z37p23czddgoxwf03s0b7wobwwyt85j5ms.png)
![y - 4 = 7x - 56](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l2topo33oz1axv0puqgt0xvevnmg7xa7fx.png)
Thus equation of line in point slope form is found
We can write the equation in standard form
The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers.
![y - 4 = 7x - 56\\\\7x - y -52 = 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bpkrcf4ev00eczfnvp4c1x1khwgnn7l28f.png)