# Write a Function in Slope-Intercept Form

Writing a function in slope-intercept form is a fundamental concept in algebra and mathematics. This form, \( y = mx + b \), provides a clear and concise way to express linear equations, where \( m \) represents the slope of the line and \( b \) is the y-intercept. When creating such a function, understanding the slope as the rate of change and the y-intercept as the value of \( y \) when \( x = 0 \) is crucial. This form not only simplifies the representation of lines but also allows for easy identification of key characteristics like slope and where the line intersects the y-axis.

Questions

- What is the slope intercept form of the line passing through #(3,-12) # with a slope of #5/4 #?
- What is the slope intercept form of the line passing through #(-4,7) # with a slope of #-1/3 #?
- What are the intercepts of #-y=x^2+x^3+1#?
- What is the slope intercept form of the line passing through #(1,0) # with a slope of #-2 #?
- What are the intercepts of #x=-4y-12#?
- What is the x- intercept and y- intercept of #y= -4x+2#?
- What is the slope intercept form of the line passing through #(-16,-3) # with a slope of #-3/2 #?
- How do you write an equation for a line given #f(-1)=1# and #f(1)=-1#?
- How do you write the equation #y+3=1/2(x+4)# in slope intercept form?
- What is the slope intercept form of the line passing through #(-10,6) # with a slope of #3/2 #?
- What is the slope intercept form of the line passing through #(2,-2) # with a slope of #-2 #?
- How do you write the slope intercept form of the line #9x-7y=-7#?
- What is the slope and y-intercept of #y=(2-3x)-7#?
- What is the slope intercept form of the line passing through #(4,-8) # with a slope of #5/4 #?
- What is the slope intercept form of the line passing through #(3,-20) # with a slope of #-1/2 #?
- Why doesn't the line #x=-2# have an x intercept?
- What is the slope intercept form of the line passing through #(4,-9) # with a slope of #5/4 #?
- What is the y intercept of the line #x+y=7 #?
- How do you write the equation #y-1=-7(x-3)# in slope intercept form?
- How do you write #x = 7/11 + 14/11y# in slope-intercept form?