Answer:
Explanation:
To find the equation of the line in slope-intercept form we to find the y-intercept(b) and the slope(m)
For the y-intercept(b) we can see that the line crosses/intersects the y-axis at 40 so the value of b equals 40 which means our y-intercept is 40
now all that is remaining is the value of m which we can find through the formula:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/e9lgdayfzr27dyurvzbw9lffpiv7535tiv.png)
we take any two coordinates which lie on the line for example
(0 , 40) and (2 , 140) and plug it into our formula
![m=(y_2-y_1)/(x_2-x_1) \\\\m=(140-40)/(2-0)\\\\m=(100)/(2) \\\\m=50](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kk8n9nlqfr67j73iqosiordjwwaw0h2t1m.png)
so the slope of the line is 50 which is m , so the equation of the line in slope-intercept form would be:
![y=mx+b\\y=50x+40](https://img.qammunity.org/2021/formulas/mathematics/middle-school/k4c9afzohbkj1s0fnhy5mofracvsqmm6pt.png)