Question

Which of the following equations shows the function that as a y- intercept of -5 and the same slope as the line y = 4x -10? Hint: same slope (m = 4) *

Answer 1

$y\text{ = 4x-5}$

Here, we want to get the equation of a straight line

The general equation of a straight line is;

$y\text{ = mx + b}$

where m is the slope and b is the y-intercept

We already have the y-intercept as -5

Now, if two lines are parallel, they have equal slope

So, the slope of the equation we are looking for is 4 too

Hence, the equation of the line we are looking for written in the general form is;

$y\text{ = 4x-5}$