Slope Intercept Form
The slope intercept form of a straight line is represented by: y = mx + b , (m is the slope, b is the y-intercept and x,y are the coordinates of any point on the line). The slope intercept form is the mostly used way to express equation of a line. To write a equation of a straight line, in y = mx + b form, we need to find the values of,
Firstly, The slope of the line and
Secondly, The y-intercept of the line.
Find the equation of the line with slope,m =6 and passing through the point, (1, 7).
This time we have m, but b is missing, so we have to find b.
Since m=6, y = mx + b becomes y = 6x + b
Now, using (1, 7) to get b
While x = 1, y = 7, we can replace them into the equation.
Substituting 1 for x and 7 for y gives 7 = 6 x 1 + b
7 = 6 x 1 + b
7 = 6 + b
7 – 6 = 6-6 + b
1 = 0 + b
1 = b
Now since we have b, y = 6x + 1
Students can also learn about different types of intercepts like line intercept form and the equations for it on Equation of a line intercept form page.
