Respuesta :
Answer:
y = [tex]\frac{4}{5}[/tex] x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{4}{5}[/tex] , then
y = [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (- 5, 2 ) into the partial equation
2 = - 4 + c ⇒ c = 2 + 4 = 6
y = [tex]\frac{4}{5}[/tex] x + 6 ← equation of line
Answer:
Below.
Step-by-step explanation:
Use the point-slope form of a straight line.
y - y1 = m(x - x1)
Here m = 4/5, x1 = -5 and y1 = 2, so
y - 2 = 4/5(x - -5))
y - 2 = 4/5 x + 4
y = 4/5x + 6 is the answer in slope-intercept form.
Standard form:
Multiply through by 5:
5y = 4x + 30
4x - 5y = -30 is the answer in standard form.