Answer:
Step-by-step 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:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
we take any two coordinates which lie on the line for example
(0 , 40) and (2 , 140) and plug it into our formula
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{140-40}{2-0}\\\\m=\frac{100}{2} \\\\m=50[/tex]
so the slope of the line is 50 which is m , so the equation of the line in slope-intercept form would be:
[tex]y=mx+b\\y=50x+40[/tex]
