Of course I can! So when we are given a line, all you have to do it find the INTERCEPT along the y-axis and then find the rate at which it goes up or down. Now this is just for linear. Their is also exponential and quadratic when you get to that level. In linear, we go up at a constant rate. Same with quadratic. But exponential doesn't increase in equal increments.
If we look at the image attached, you can see that the line intercepts the y axis at (0,7), and to find the actual slope of the line, we do rise over run. So we do the change in y over the change in x. So for the example provided, we go up 1 and then run 4. So the slope of this line is 1/4. And when we use slope-intercept form, y=mx+b. After the slope, we put an x. You were most-likely taught in school to use slope-intercept form when graphing a line.
So our slope of the example is 1/4 and our y-intercept is 7.
So our equation is
y=1/4x+7
I hope that this was able to help you! :)
If you need more help, consider Khan Academy or tutoring with your teacher!
Also, the Desmos Graphing Calculator is a great resource for graphing lines!
Answer with explanation:
<u>Part A: </u>
One solution.
The number of points of intersection represents the number of solutions. Since the two lines only intersect at one point, there is only one solution.
<u>Part B:</u>
(3, 4)
The point(s) of intersection marks the solution(s) to the lines. Since lines A and B intersect at the point (3, 4), the solution to the equation of their lines is (3, 4), or , as coordinates are written as (x, y).