Question

What is the equation of the line that has a slope of 4/5 and a y-intercept of –1? HELP ! :)

Answer 1

hmmm what's a y-intercept?

Answer 2

y-intercept is a point where the graph of a function or relation intersects with the y-axis of the coordinate system

Answer 3

@jdoe0001

Answer 4

y intercept is the point where x = 0.

Answer 5

so if you have the coordinate:
(0, 4)
Then 4 is your y intercept.

Answer 6

What form do they want the equation in? Standard? Slope-intercept?

Answer 7

Correct jdo.

Answer 8

hmmm one sec

Answer 9

that means that at the y-intercept of -1, y = -1 and x= 0 thus -> (0, -1)
so you're really asked to find the equation of a line with 4/5 slope and passes througt (0,-1)

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ 0}}\quad ,&{\color{blue}{ -1}})\quad
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{4}{5}
\\ \quad \\

y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 10

Very good. :D

Answer 11

thanks !!!

Answer 12

you're great !