Question

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 + ?

Answer 1

The value of b is 2 and The equation of line is y = 3 x + 2 .

Explanation:

Given as :

The slope of line is 3

The points through which line passes is ( x , y ) = ( 1 , 5 )

Now,

The equation of line in slope-intercept form

y = m x + c

Where x and y are the points on axis

m is the slope of line

c is the constant term

∵ Line y = m x + b , passes through point ( 1 , 5 ) having slope m = 3

So , 5 = 3 × 1 + b

Or, 5 = 3 + b

∴ b = 5 - 3

I.e b = 2

So, The equation can be written as

y = 3 x + 2

Hence The value of b is 2 and The equation of line is y = 3 x + 2 . Answer