Which of the following is the equation of a line in slope-intercept form for a line with slope=5 and y-intercept at (0,-3)

Respuesta :

y = 5x - 3

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = 5 and c = - 3

y = 5x - 3 ← equation in slope-intercept form


Answer:

The equation of a line in slope-intercept form is :[tex]y=5x-3[/tex]

Step-by-step explanation:

Slope intercept from = y = mx+c

Given : point on the line (0,-3),

Slope of the line = 5

Point slope form :

[tex](y-y_1)=m(x-x_1)[/tex]

[tex](y-(-3))=5\times (x-0)[/tex]

[tex]y+3=5x+0[/tex]

[tex]y=5x-3[/tex]

(y = mx+c)

The equation of a line in slope-intercept form is :[tex]y=5x-3[/tex]