Mathematics
The line passing through point (1, 1) and making y-intercept equal to 3 has equation :
2x - y = 3
2x - y + 3 = 0
2x + y = 3
2y + x = 3
Answer
By slope-intercept form :
Equation of line : y = mx + c ……(1)
Given,
Line passes through point (1, 1) and makes a y-intercept of 3.
Substituting value in equation (1), we get :
⇒ 1 = m(1) + 3
⇒ 1 = m + 3
⇒ m = 1 - 3 = -2.
∴ Slope of line (m) = -2 and y-intercept (c) = 3
Substituting value of m and c in equation (1), we get :
⇒ y = -2x + 3
⇒ 2x + y = 3.
Hence, Option 3 is the correct option.
Related Questions
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2x - y = 5
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x - y = 5
x + 2y = 5
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A line cuts equal intercepts with both the axes and passes through the point (6, 6). The equation of the line is :
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