Final answer:
To find an equation of the line passing through the points (8,−5), we can use the slope-intercept form of a linear equation, which is y = mx + b. We need to find the slope and the y-intercept using the given points and then substitute the values into the equation.
Step-by-step explanation:
To find an equation of the line passing through the points (8,−5), we can use the slope-intercept form of a linear equation, which is y = mx + b. In this form, m represents the slope of the line and b represents the y-intercept.
Given two points (x1, y1) and (x2, y2), we can find the slope using the formula m = (y2 - y1) / (x2 - x1). Plugging in the coordinates (8,−5), we have:
m = (-5 - y1) / (8 - x1)
Next, we need to find the y-intercept b. We can substitute the coordinates of one of the points into the equation y = mx + b and solve for b. Using the point (8,−5), we have:
-5 = m(8) + b
Substituting the value of m we found earlier, we can solve for b and obtain the equation of the line passing through the given points.