Line has a slope of -7 and a y-intercept of 12 what is the equation for line in slope intercept form

Linear equations can be written in the form y = mx + b where the multiplier, m, or the coefficient of the x-term represents the slope of the line and the b represents the constant term or the y-intercept.

So we can write an equation in y = mx + b form by first noticing that our slope is equal to -7 and our constant term is equal to 12.

So our linear equation can be written as y = -7x + 12.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is