What is an equation of the line that passes through the point (-4,-6) and is perpendicular to the line 4x+5y=25

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

First rewrite the equation of the given line in the form of y=mx +c.

4x+5y=25

5y= -4x +25

The gradient of the given line is

The product of the gradient of perpendicular lines is -1.

Thus, m=

Substitute a coordinate to find c.

When x= -4, y= -6,

Hence, the equation of the line is

answer: the first graph

step-by-step explanation:

given hc ∥ gd.¯¯¯¯¯¯which statement is true

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles