Answer:
y=4x+5
Step-by-step explanation:
From the formula y=mx+c,
m=gradient
=4
c=point on the y-axis
=5
Therefore, y=4x+5
The equation of the line in point-slope form for the given values of slope 4 and point (-2,5) is [tex]y=4x+13[/tex]. This is obtained by using the point-slope formula for finding an equation of the line.
Given that,
Slope m=4 and point [tex](x_1,y_1)[/tex] = (-2,5)
On substituting these values into the formula,
[tex]y-5=4(x-(-2))[/tex]
[tex]y=4(x+2)+5[/tex]
[tex]y=4x+8+5[/tex]
[tex]y=4x+13[/tex]
Therefore, the required equation of the line for the given point and slope is [tex]y=4x+13[/tex].
Learn more about point-slope form here:
https://brainly.com/question/2019733
#SPJ2
