Find the y-intercept of the two coordinates ( 2, -5) and ( 6, 3). Please help me with this question and please explain to me and show me how to find Each step to solving the y- intercept. Thank you 😄
y intercept is when x is zero.
y=mx+b
point 1 -5=2m+b
ponit 2 3=6m+b
subtract second equation from first
-8=-4m
m=2, putting that in the first equation
-5=-4+b or b=-1
y=2x-1
so for y intercept, x is zero, or y=-1
Thanks but my teacher said that the answer is y= 2x - 9
slope = (3+5)/(6-2) = 8/4 = 2
so the equation is y = 2x + b
plug in one of the points: (6,3)
3 = 2(6) + b
-9 = b
so y = 2x - 9
Since this is in the y-intercept, slope form , and b is the y-intercept
there it is!!
To find the y-intercept of a line, you need to determine the point where the line intersects the y-axis. The y-axis is the vertical line on a graph, and its value is always 0.
To find the y-intercept using the given coordinates (2, -5) and (6, 3), you can follow these steps:
Step 1: Plot the points on a graph.
- Draw an xy-coordinate plane.
- Locate the point (2, -5) by moving 2 units to the right on the x-axis and 5 units downwards on the y-axis. Mark this point.
- Locate the point (6, 3) by moving 6 units to the right on the x-axis and 3 units upwards on the y-axis. Mark this point.
Step 2: Draw a straight line connecting the two points.
- Draw a straight line passing through both marked points. This line represents the equation connecting the two coordinates.
Step 3: Identify the point where the line crosses the y-axis.
- Locate the point where the line intersects the y-axis. This is the y-intercept.
Step 4: Determine the coordinates of the y-intercept.
- Check the value on the x-axis where the line intersects the y-axis. In other words, find the point where x = 0.
- To do this, visualize or extend the line until it reaches the y-axis (the vertical line on the graph). The point where it crosses the y-axis is the y-intercept.
Step 5: Record the coordinates of the y-intercept.
- Identify the x-coordinate of the y-intercept. Since the line crosses the y-axis at x = 0, the x-coordinate of the y-intercept is 0.
- Identify the y-coordinate of the y-intercept. This is the value where the line intersects the y-axis.
In this case, since the line crosses the y-axis when x = 0, the point at which x = 0 is the y-intercept. The coordinates of the y-intercept are (0, y), where y is the value where the line intersects the y-axis.
Since the line passes through the point (2, -5) and (6, 3), the y-intercept can be found by drawing the line until it crosses the y-axis. In this case, the y-intercept is at (0, -7).
Therefore, the y-intercept of the line passing through the coordinates (2, -5) and (6, 3) is -7.