How do you write the slope of the line tangent to #g(x)=3/2x+1# at the point (-2,2)? Calculus Derivatives Tangent Line to a Curve 1 Answer Steve M Nov 22, 2016 #3/2# Explanation: #g(x)# is a straight line and comparing with the standard equation #y=mx+c# we see that #m=3/2#, so the gradient of the tangent is constant and is #3/2# everywhere on #g# Answer link Related questions How do you find the equation of a tangent line to a curve? How do you find the slope of the tangent line to a curve at a point? How do you find the tangent line to the curve #y=x^3-9x# at the point where #x=1#? How do you know if a line is tangent to a curve? How do you show a line is a tangent to a curve? How do you find the Tangent line to a curve by implicit differentiation? What is the slope of a line tangent to the curve #3y^2-2x^2=1#? How does tangent slope relate to the slope of a line? What is the slope of a horizontal tangent line? How do you find the slope of a tangent line using secant lines? See all questions in Tangent Line to a Curve Impact of this question 2069 views around the world You can reuse this answer Creative Commons License