Write the equation of the line passing through the points (−5, 6), (−7, 3).

Question

SnapAndSolve AI · Accepted Answer

To find the equation of the line, we first calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the given points (−5, 6) and (−7, 3):

m = (3 - 6) / (−7 + 5) = (−3) / (−2) = 3/2

Now, use the point-slope form of the equation: y - y1 = m(x - x1)

Using point (−5, 6):

y - 6 = 3/2(x + 5)

Simplify to get the slope-intercept form:

y = 3/2x + 15/2 + 6

y = 3/2x + 27/2

The equation of the line is: y = 3/2x + 27/2

Answer