Question

Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form. (2 points)

y − 1 = 2(x − 3)

y − 3 = 2(x − 1)

x − 1 = 2(y − 3)

x − 3 = 2(y − 1)

Answer 1

`\\ \text{We need to find the equation of the line that passes through (1,3)}\\ \text{and has a slope of 2 in point-slope form.}\\ \\ \text{we know that the point slope form of the line passing through the }\\ \text{point }(x_1,y_1) \text{ and having slope m is given by}\\ \\ y-y_1=m(x-x_1)\\ \\ \text{so using this, the equation of the line passing through }(x_1,y_1)=(1,3)\\ \\ \text{and having a slope, m=2 is given by}\\ \\ y-3=2(x-1)`

Hence the equation of line in point-slope form is: y-3= 2(x-1)