Question

Write an equation for a line that passes through the points (0, -4) and (1, 3).

Answer 1

y = 7x - 4

Explanation:

To solve the equation of this line ( in point - slope form ) we would have to first identify the slope. If we are given the points ( 0, - 4 ) and ( 1, 3 ) then through the change in y / change in x, we can calculate the value of this slope. Take a look at the steps below;

`( 0, - 4 ), ( 1, 3 )\\\\Slope = y2 - y1 / x2 - x1,\\\\Slope = - 4 - 3 / 0 - 1,\\Slope = - 7 / - 1\\Slope = 7 / 1\\\\Slope = 7`

Now that we have the slope of this line, we have assume part of the equation of this line ( that passes through the points ( 0, - 4 ) and ( 1, 3 ) );

`y = mx + b -\\m = slope, b = y - intercept`

Plug in the value of slope for " m " in y = mx + b, and determine the y - intercept by plugging in x as 0 and y as - 4, given the point ( 0, - 4 );

`- 4 = 7 * ( 0 ) + b,\\- 4 = 0 + b,\\b = - 4`

From this information, we can say that the equation of this line is y = 7x - 4;

Solution, y = 7x - 4