Question

What is the equation of the line in slope-intercept form?

Answer 1

ANSWER

The equation of the line in slope-intercept form is

$y = \frac{3}{5} x + 3$

EXPLANATION

The slope intercept form of a line is given by
$y = mx + c$
Where $m$is the slope and $c$
is the y-intercept.

We can read any two points from the graph and use it to determine the slope of the line.

For instance, the graph passes through the points
$(-5,0)$and $(0,3)$

The slope can be found using the formula,

$m= \frac{y_2-y_1}{x_2-x_1}$

This implies that,

$m = \frac{ 3 - 0}{0 - - 5}$

$m = \frac{ 3 - 0}{0 + 5}$

$m = \frac{ 3 }{ 5}$

Also the y-intercept is

$(0,3)$

Therefore $c = 3$

We substitute all these values in to the above equation to obtain,

$y = \frac{3}{5} x + 3$

Answer 2

The equation of the line that passes through the points is y=3/5x+3