Q. The points (−6,−8) and (−4,w) fall on a line with a slope of 7. What is the value of w?w=___
Identify slope formula: Identify the formula for slope between two points.The slope formula is (y2−y1)/(x2−x1). Here, (x1,y1)=(−6,−8) and (x2,y2)=(−4,w).Calculation: Slope = (w−(−8))/(−4−(−6))
Substitute slope value: Substitute the given slope value into the formula.We know the slope is 7, so set up the equation: 7=(w+8)/2.Calculation: 7×2=w+8
Solve for w: Solve for w.Calculation: 14=w+8w=14−8w=6
More problems from Find a missing coordinate using slope