Write the point-slope form, slope-intercept form, and standard form of an equation for a line that passes through (-1,2) with slope 4.

Question

This question is for my assignment and I need some help understanding the question. I am a little rusty when it comes to slope related topics.

Thank You.

Answer 1

There are three forms of linear equations, 

the point-slope form: y-y₁=m(x-x₁).  M is slope (X_{1 ,} y₁₎ is the point 

the slope -intercept form: y=mx+b m is the slope, b is the y intercept 

the standard form: Ax+By=C , with A,B, C are integers, A has to be positive

so for this question  the given is m=4, the point is (-1, 2) , we can write the equation in point slope form:

y-2=4(x+1)

then distribute 4 and simplify y-2=4x+4 , y=4x+6 is the slope -y intercept form

then, move 4x on the left side, you get -4x+y=6 , multiply every term by -1, you get 4x-y=-6 which is standard form.