Write an equation for the line that passes through the point (4,5) and is perpendicular to−7x+y=2. Use slope-intercept form.

y= -1/7x + 39/7

Step-by-step explanation:

Slope - intercept form is:

Given the line:

which can be shown as:

We need to write an equation for the line that it perpendicular to the given line and passes through the point (4,5)

As we know, perpendicular line has a slope opposite-reciprocal to the given, so the slope is:

and the form of the line is:

We can find b, by using the point (4, 5), which means x=4 and y=5:

And the equation for this line is:

europa2433

europa2433

step-by-step explanation: