Question

Write the equation of the line, with the given properties, in slope-intercept form.

Slope = -4, through (7,4)

Answer 1

Explanation:

Slope-intercept form means the equation should be written in this manner

`y=mx+c`

where m is the slope and c is the y-intercept

so lets take all the date we have to achieve it.

We have a point (7,4) and slope which is m= -4 we can substitute the slope and point in our equation and find the y-intercept .

`y=mx+c\\4=(-4)(7)+c\\4=-28+c\\32=c`

so now we have our y-intercept that is c=32

now for the equation to be in the slope-intercept form we need m and c and we have both so just replace these variables with their values.

`y=-4x+32`