Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows on both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma negative 2 right parenthesis and left parenthesis 3 comma 0 right parenthesis.
Write the equation of the line in slope-intercept form.
45
guys its actually y= 2/3x -2
actually write it its correct
To find the slope-intercept form of the line, we need to determine the slope (m) and the y-intercept (b).
The slope (m) can be calculated using the coordinates of the two points (0, -2) and (3, 0).
m = (y2 - y1) / (x2 - x1)
m = (0 - (-2)) / (3 - 0)
m = 2 / 3
Now, to find the y-intercept (b), we can use the slope-intercept form equation: y = mx + b.
Using the point (3, 0), we can substitute the values into the equation and solve for b.
0 = (2/3) * 3 + b
0 = 2 + b
b = -2
Therefore, the equation of the line in slope-intercept form is:
y = (2/3)x - 2
To write the equation of the line in slope-intercept form (y = mx + b), we need to determine the slope (m) and the y-intercept (b).
First, let's find the slope (m) using the given points (0, -2) and (3, 0). The slope formula is:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates, we have:
m = (0 - (-2)) / (3 - 0)
m = (0 + 2) / 3
m = 2/3
So, the slope (m) is 2/3.
Next, we can find the y-intercept (b) by substituting one of the points into the slope-intercept form (y = mx + b) and solving for b.
Using the point (3, 0):
0 = (2/3)(3) + b
0 = 2 + b
b = -2
Therefore, the y-intercept (b) is -2.
Now we can write the equation of the line:
y = (2/3)x - 2
So, the equation of the line in slope-intercept form is y = (2/3)x - 2.
To find the equation of the line in slope-intercept form (y = mx + b), we need to determine the slope (m) and y-intercept (b).
First, we calculate the slope (m) using the given points (0, -2) and (3, 0). The formula for slope is: m = (y₂ - y₁) / (x₂ - x₁).
Substituting the coordinates into the formula, we have:
m = (0 - (-2)) / (3 - 0)
m = 2/3
Now that we have the slope (m), we can find the y-intercept (b) by substituting one of the given points into the slope-intercept form equation.
Using the point (3, 0):
y = mx + b
0 = (2/3)(3) + b
0 = 2 + b
b = -2
Now we have both the slope (m = 2/3) and y-intercept (b = -2). Therefore, the equation of the line in slope-intercept form is:
y = (2/3)x - 2