Answer:There are different ways to find the slope of a line, depending on the information you have available. Here are some of the most common methods:
Using the slope-intercept form: If the equation of the line is given in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept, you can simply read off the value of the slope. For example, if the equation is y = 2x + 3, the slope is 2.
Using two points: If you have two points on the line, you can use the slope formula to find the slope. The slope formula is:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points. For example, if the points are (1, 2) and (3, 4), the slope is:
m = (4 - 2) / (3 - 1) = 2 / 2 = 1
Using a graph: If the line is graphed on a coordinate plane, you can find the slope by counting the rise (the vertical distance between two points) and the run (the horizontal distance between two points) and dividing the rise by the run. For example, if the line rises 2 units and runs 3 units, the slope is 2/3.
Using the point-slope form: If you know a point on the line and the slope of the line, you can use the point-slope form to find the equation of the line. The point-slope form is:
y - y1 = m(x - x1)
where (x1, y1) is the point on the line, and m is the slope. For example, if the slope is 2 and the point is (1, 3), the equation of the line is:
y - 3 = 2(x - 1)
These are some of the most common methods to find the slope of a line. Each method may be more or less useful depending on the situation and the information available.
Step-by-step explanation: