Answer:
y - 4 = (2/5)(x + 2)
Step-by-step explanation:
Here we're told that the desired line passes through (h, k): (-2, 4) and that it has a slope of m = 2/5.
Using the point-slope form of the equation of a straight line, we get:
y - k = m(x-h) => y - 4 = (2/5)(x + 2)
Answer:
[tex]y=\frac{2}{5}x+\frac{24}{5}[/tex]
Step-by-step explanation:
We are given a point (-2,4)
[tex](x_1,y_1)=(-2,4)[/tex]
Slope = m [tex]=\frac{2}{5}[/tex]
General equation of point slope form : [tex]y-y_1=m(x-x_1)[/tex]
Substitute the values :
Equation : [tex]y-4=\frac{2}{5}(x-(-2))[/tex]
[tex]y-4=\frac{2}{5}(x+2)[/tex]
[tex]y-4=\frac{2}{5}x+\frac{4}{5}[/tex]
[tex]y=\frac{2}{5}x+\frac{4}{5}+4[/tex]
[tex]y=\frac{2}{5}x+\frac{24}{5}[/tex]
Hence equation represents a line that passes through (–2, 4) and has a slope 2/5 is [tex]y=\frac{2}{5}x+\frac{24}{5}[/tex]
