The general form of the line is:
y = mx + c where:
m is the slope
c is the y-intercept
Now, we are given that the slope = 1/2.
The equation now became:
y = (1/2) x + c
Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows:
y = (1/2) x + c
1 = (1/2)(-4) + c
1 = -2 + c
c = 1+2
c = 3
Based on the above, the equation of the line is:
y = (1/2) x + 3
<h2>The above state tells only about the sum of their angle not about their areas. You are right there sum of angles is same but their areas are different. Let's take another example, rectangle also have sum of angles equal to 90 ° but it's not that rectangle is equal to circle. Square and Rectangle are equal because their areas are same.</h2>
<h3>hope this will help you. have a good day friend. </h3>
Find slope by calculating rise over run (can pick whatever points are easiest for you). I'm choosing (0,2) and (-3,0)
(0-2)/(-3-0)
(-2)/(-3)
2/3
Slope=2/3
Y intercept is the value of y when x is 0. We can look to see the y intercept is 2.
Final answer: D