Answer:
[tex]y=7x -7[/tex]
Step-by-step explanation:
We are given two points, the y - intercept and the x - intercept.
The y - intercept being: ( 0, -7 )
The x - intercept being: ( 1, 0 )
The equation of a line in slope - intercept form is:
y = mx + b, where m is the slope and b is the y - intercept.
We already have the y - intercept. So far we have:
y = mx - 7
What we're missing is the slope.
To find the slope, we can use this formula:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], where [tex]x_{2}[/tex] and [tex]x_{1}[/tex] are the x - coordinates of both points and [tex]y_{2}[/tex] and [tex]x_{1}[/tex] are the y - coordinates of both points.
[tex]m=\frac{0-(-7)}{1-0} \\\\m=\frac{7}{1}\\m=7[/tex]
We now have the missing piece, the slope, so the equation now is:
[tex]y=7x -7[/tex]
