Answer:
m = 4
Explanation:
equation of point slope formulae
![y = mx + c](https://img.qammunity.org/2022/formulas/mathematics/high-school/mpsydhdqmt6eheycm3xmw9eeme8fwkngx1.png)
m = slope , c = y-intercept
1) find the slope
* use the two coordinates given to find the slope
slope formulae:
![(y2 - y1)/(x2 - x1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/rw7f86hmii44ewn2p6qff4r1on78tfz88n.png)
i) (4,7)
x1 = 4
y1 = 7
ii) (5,11)
x2 = 5
y2 = 11
substitute the values into the formulae
![m = (11 - 7)/(5 - 4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/j7okv2cjqw50l4w6ahnofib0d2ux75grt3.png)
![m = (4)/(1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/t5rjez4jzorqhenvns9uamtmug0ilod69i.png)
![m = 4](https://img.qammunity.org/2022/formulas/mathematics/high-school/v1mlnxxduf7g4qhongwgipyke1imt6x1zu.png)
the slope = 4