Answer:
An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:
Step-by-step explanation:
Given the equation

converting the line into the slope-intercept form y = mx+b, where m is the slope


The slope of the line = m = 5
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
Therefore, the slope of new line = – 1/m = -1/5 = -1/5
Using the point-slope form of the line equation

where m is the slope of the line and (x₁, y₁) is the point
substituting the slope of new line = -1/5 and (-2, 3)



Add 3 to both sides


Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:
Ok so we want to cross multiply.
To do this you know 4/9=2$ so now you want to know 1=x$
When you do this you get $5
First flip the 2nd number. (denominator becomes numerator and vice versa) then multiply the numerators and multiply the denominators. that's the answer.
Well it is the thereom is diffrent