MATH SOLVE

5 months ago

Q:
# Write the equation the line in slope-intercept form. Slope is 3, and (1, 5) is on the line. m = ? To find b (the y-intercept), substitute ? in for m, ? in for x and ? in for y into y=mx+ b. b = ? The equation should be y= ? x + ?

Accepted Solution

A:

Answer: The value of b is 2 and The equation of line is y = 3 x + 2 . Step-by-step explanation:Given as :The slope of line is 3The points through which line passes is ( x , y ) = ( 1 , 5 )Now,The equation of line in slope-intercept formy = m x + c Where x and y are the points on axis m is the slope of linec is the constant term ∵ Line y = m x + b , passes through point ( 1 , 5 ) having slope m = 3So , 5 = 3 × 1 + bOr, 5 = 3 + b∴ b = 5 - 3I.e b = 2 So, The equation can be written as y = 3 x + 2Hence The value of b is 2 and The equation of line is y = 3 x + 2 . Answer