How do you write an equation of a line with points (-1,3), (0,8)?
See a solution process below:
First, we need to determine the slope of the line. The formula for find the slope of a line is:
Substituting the values from the points in the problem gives:
Now, we can use the point-slope formula to write and equation for the line. The point-slope form of a linear equation is:
Substituting the slope we calculated above and the values from the first point in the problem gives:
We can also substitute the slope we calculated above and the values from the second point in the problem giving:
We can also convert this equation to slope-intercept form:
#"the equation of a line in "color(blue)"slope-intercept form"#is.
#"where m is the slope and b the y-intercept"#
#"to calculate m use the "color(blue)"gradient formula"#
#"let "(x_1,y_1)=(-1,3)" and "(x_2,y_2)=(0,8)#
#"note that "b=8" since point "(0,8)#
#y=5x+8larrcolor(red)"is equation of line"#