Question

Write an equation for the line, given that m=3 and the y-intercept is (0,2)

Answer 1

Answer:

The equation of required line is y=3x+2.

Step-by-step explanation:

The slope intercept form of a line is

$y=mx+b$            ..... (1)

where, m is slope and b is y-intercept.

We need to find the equation of line whose slope is m=3 and the y-intercept is (0,2).

Substitute m=3 and b=2 in equation (1), to find the equation of required line.

$y=(3)x+(2)$

$y=3x+2$

Therefore the equation of required line is y=3x+2.

Answer 2

The equation for the line hose gradient/slope is 3 and a y-intercept of (0, 2) is y = 3x + 2

Further Explanation

Equation of a straight line  

• Equation of a straight line is written in the form y=mx+ c, where m and c are numbers. m is the gradient of the line while c is the y-intercept.

Equation of a straight line can be found when given:

• A slope of the line and one point where the line is passing through  
• Two points where the line is passing through
• A slope of the line and the y-intercept  

Double intercept  

• When an equation of a straight is written in the form of x/a + y/b = 1
• Where a is the x-intercept and b is the y-intercept  

In this case;

The equation of the straight line with gradient m, passing through a point (x1,y1) is  

y-y1 = m(x-x1)

We are given the y-intercept as (0, 2) and the slope is 3  

Therefore;  

To get the equation, we take another point (x,y)  

(y-2)/(x-0) = 3

y-2 = 3x  

y= 3x + 2

Keywords: Equation of a straight line, y-intercept,  

Learn more about:  

• Equations of a straight line: https://brainly.com/question/11828095
• Slope of a straight line: https://brainly.com/question/13060178  

Level: High school  

Subject: Mathematics  

Topic: Equation of a straight line