Which of the following is true about the graph of linear equation in two variables

HMH Support is here to help you get back to school right. Get started

 

Which of the following is true about the graph of linear equation in two variables

The equation of a line can be written in a form that makes the slope obvious and allows you to draw the line without any computation. If students are comfortable with solving a simple two-step linear equation, they can write linear equations in slope-intercept form. The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables. The numbers m and b give the slope of the line (m) and the value of y when x is 0 (b). The value of y when x is 0 is called the y-intercept because (0,y) is the point at which the line crosses the y-axis.

You can draw the line for an equation matching this linear formula by plotting (0,b), then using m to find another point. For example, if m is 1/2, you can interpret that as a difference in 1 among y coordinates for every difference in 2 among x coordinates (that is, (y2 – y1)/(x2 – x1) = 1/2). Count +2 on the x-axis, then +1 on the y-axis to get to another point: (2, b + 1).

Which of the following is true about the graph of linear equation in two variables

Jennifer Prescott
Shaped Contributor

September 09, 2022
  • Which of the following is true about the graph of linear equation in two variables

    Jennifer Prescott
    Shaped Contributor

    September 09, 2022
  • 7 Strategies for Reading Success with English Learners

    Rebecca Salinas
    Learning Architect, HMH

    September 02, 2022