Question

What is the equation of a line with a y-intercept of − 3 and a slope of 5?

Answer 1

y = 5x + 3

Explanation:

Answer 2

Slope - Intercept

What is slope-intercept?

Slope-intercept is the most common way of writing the equation of a straight line (a linear function).

Linear functions look like this:

`\setlength{\unitlength}{2.5mm}\begin{picture}(10,10)\linethickness{0.45mm}\put(20,20){\vector(2,0){18}}\put(20,20){\vector(-2,0){18}}\put(20,20){\vector(0,2){18}}\put(20,20){\vector(0,-2){18}}\multiput(19.35,6)(0,2){16}{\line(1,0){1.3}}\multiput(6,19.35)(2,0){16}{\line(0,1){1.3}}\put(20,20){\circle*{1}}\qbezier(20,20)(20,20)(34, 35) \qbezier(8,5)(8,5)(20.8, 20.9)\end{picture}`

The format for a slope-intercept equation is y = mx + b.

Where:

• m = slope
• b = y-intercept

Basically, to find the equation when the slope and y-intercept are given, just plug in these values into y = mx + b:

Slope = 5 and y-intercept = 5:

`\Large\textbf{y = 3x + 5}`

Therefore, the equation is y = 3x + 5.

`\rule{350}{4}`