Write an equation in slope-intercept form of the line that passes through (-2,5) and (-4,-5).

Answer 1

Hi there,

You can use these points to determine the slope of the line and then write the equation in slope -intercept form: y = mx + b where m is the slope of the line and b is the y-intercept.

The slope, m, can be determined using the coordinates of the two points that lie on the line:

m= y₂ - y_{1 =} -5 - 5 = -10 = 5

x₂ - x₁ -4- (-2) -2

The slope of the line is 5.

Now we can use the coordinates of one of the points and substitute the values into the equation to find the y-intercept, b. Either point is fine to use because they both are located on the same line.

y = mx + b

5 = 5• (-2) + b

5= -10 + b

5 +10 = -10+ b + 10

15 = b

Therefore, the equation of the line will be:

y = 5x + 15