Question

Write an equation of the line described

passes through (8,8)

parallel to the line y = -7/4x - 4​

Answer 1

y = -7/4x + 22

Explanation:

linear equation: y = mx +c, where m is the slope

when a line is parallel to another line, it means they have same slope

so the line slope, m = -7/4

now you need to find c to complete the equation

you have x,y information

replace that into linear equation together with slope value

8 = (-7/4)8 + c

8 = -14 + c

8+14 = c

c = 22

substitute m,c into the equation, you get

y = -7/4x + 22