(-1,3); y=2x-3

Question

Write an equation in slope intercept form of the line that passes through the given and is parallel to the graph of the given equation

Answer 1

Since the line that is given is in slope-intercept form, we can quickly determine that the slope is 2.

When two lines are parallel, they have the same slope.

Since the line you are seeking is parallel to a line that has a slope of 2, the slope of the line you are looking for is also 2.

m= 2

Now that we have a point and the slope, we can use the point-slope formula to find the equation of the line that you are looking for.

y - y₁ = m(x - x₁)                      Point-slope formula

y - 3 = 2[x - (-1)]                      Substitution

y - 3 = 2(x + 1)                         Subtracting a negative is the same as adding

y - 3 = 2x + 2                           Distribute the 2

y - 3 + 3 = 2x + 2 + 3                Add 3 to both sides

y = 2x + 5                                 Simplify