Question

A line passes through the point (-4, 7) and has a slope of -5/4

Write an equation in slope-intercept form for this line.

Answer 1

`y=-(5)/(4) x+2.`

Explanation:

1) slope-interception form is: y=s*x+i, where 's' and 'i' are slope and interception;

2) according to the condition s= -5/4, then the required equation is: y= -5/4 *x +i, where i - interception;

3) if to substitute (-4;7) into the required equation y= -5/4 *x +i, it is possible to calculate 'i':

7= -5/4*(-4)+i; ⇒i=2, then

`4) \ finally, \ y=-(5)/(4)x+2.`