Question Video: Writing an Equation of a Straight Line in Slope-Intercept Form Mathematics • Third Year of Preparatory School

Video Transcript

Write the equation of the line of slope 10 that passes through the point one, negative two in the form 𝑦 equals 𝑚𝑥 plus 𝑐.

In the form 𝑦 equals 𝑚𝑥 plus 𝑐, the 𝑚 represents the slope and the 𝑐 represents the 𝑦-intercept. We’ve been directly given the slope of this line, which means we can substitute 10 in in place of the 𝑚-variable. From there, we can plug in our point one, negative two into this equation and solve for 𝑐, the 𝑦-intercept, which will give us negative two equals 10 times one plus 𝑐, which simplifies to negative two equals 10 plus 𝑐. And then if we subtract 10 from both sides of the equation, we’ll find that 𝑐 equals negative 12. In this equation, 𝑚 equals 10 and 𝑐 equals negative 12. Therefore, the equation in the form 𝑦 equals 𝑚𝑥 plus 𝑐 will be 𝑦 equals 10𝑥 minus 12.