Question
Find the slope intercept 3,0 0,-2
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Answered by
GPT 3.5
To find the slope-intercept form of a linear equation, we need to find the slope (m) and the y-intercept (b).
Given the points (3, 0) and (0, -2), we can find the slope using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Substituting the coordinates (3, 0) and (0, -2) into the formula:
m = (-2 - 0) / (0 - 3)
m = -2 / -3
m = 2/3
Now that we have the slope (m), we can use it to find the y-intercept (b) by substituting the coordinates of one of the points (3, 0) into the slope-intercept form: y = mx + b
0 = (2/3)(3) + b
0 = 2 + b
b = -2
Therefore, the slope-intercept form of the equation is:
y = (2/3)x - 2
Given the points (3, 0) and (0, -2), we can find the slope using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Substituting the coordinates (3, 0) and (0, -2) into the formula:
m = (-2 - 0) / (0 - 3)
m = -2 / -3
m = 2/3
Now that we have the slope (m), we can use it to find the y-intercept (b) by substituting the coordinates of one of the points (3, 0) into the slope-intercept form: y = mx + b
0 = (2/3)(3) + b
0 = 2 + b
b = -2
Therefore, the slope-intercept form of the equation is:
y = (2/3)x - 2
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