A line that includes the points (-10, 3) and (-9, g) has a slope of 7. What is the value of g?β
Accepted Solution
A:
Answer: g = 7
Explanation: Single value slope (gradient) fixes the curve as a straight line. So we are talking about the standard equation form y = m x + c where m is the gradient. Gradient β m = β 5 = change in y-axis change in x-axis Let point 1 be P 1 β ( x 1 , y 1 ) = ( β 4 , β 8 )
Let point 2 be P 2 β ( x 2 , y 2 ) = ( β 7 , g ) β 5 = change in y-axis change in x-axis = β 8 β g β 4 β ( β 7 ) β 5 = β 8 β g 3 multiply both sides by 3 β 5 Γ 3 = ( β 8 β g ) Γ 3 3 But β 5 Γ 3 = β 15 and 3 3 = 1 β 15 = β 8 β g
β corrected 15 to -15 Add 8 to both sides β 7 = β g Multiply both sides by (-1) 7 = + g g = 7