Eight minus four equals four!
Answer:
Step-by-step explanation:
Point slope form: y−7=34(x−3)
Slope intercept form: y=34x+194..or..y=34x+434
Explanation:
Since you have one point and the slope, you can use the point slope formula, then solve for y to get the slope intercept form, so that you can determine the y-intercept (b). Then you can graph the resulting equation.
Point slope formula
y−y1=m(x−x1), where x1,y1=(3,7), and m=34 is the slope.
Substitute the given values into the formula.
Y= 13 over 10x + 2 is the answer. The most important thing to remember when finding the slope of the line is RISE over RUN. When you rise, you go up or down. When you run, you go right or left. Think of RISE over RUN as a fraction.
You find two points on the line and you count up/down a certain amount of spaces, and right/left a certain amount of spaces to go from one point to the other point.
In this equation, we could use the point on the y-axis and the last point we see on the graph located at (10,15). You count up/down vertically first until you reach the horizontal line that the point is on. Then, you count the amount of spaces horizontally it takes you to reach the point. In this problem, you move up 13 spaces, and move to the right 10 spaces. This as a fraction will be 13 over 10, because we rose 13 spaces and we ran 10 spaces to get to our second point. The y-intercept will be the only number that is on the y-axis, which is 2.