no it is different
Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1, 1).
When it is a line through the origin.
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
To write the equation in slope-intercept form (y = mx + b), we start with the slope (m) of 2 and the point (3, 7). We can use the point to find the y-intercept (b). Substituting the point into the equation gives us 7 = 2(3) + b, which simplifies to 7 = 6 + b. Thus, b = 1, and the equation in slope-intercept form is y = 2x + 1.
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept. Without the specific equation, it is not possible to determine the values of m and b for the slope-intercept form.
the slope of a line is 9/5 the y intercept is -4, express the equation of the line in point slope form
Slope-intercept form (y = mx + b) expresses a linear equation in terms of the slope (m) and the y-intercept (b), making it easy to identify these key features directly from the equation. In contrast, point-slope form (y - y₁ = m(x - x₁)) focuses on a specific point (x₁, y₁) on the line and the slope (m), which is useful for writing the equation when a point and the slope are known. Essentially, slope-intercept form is best for graphing, while point-slope form is ideal for deriving equations from given points.
Here is how to solve it. First, find the slope of the given line. To do this, solve the equation for "y". That will convert the equation to the slope-intercept form. From there, you can immediately read off the slope. Since parallel lines have the same slope, the line you are looking for will have the same slope. Now you need to use the point-slope form of the equation, with the given point, and the slope you just calculated. Finally, solve this equation for "y" to bring it into the requested slope-intercept form.
You use point-slope form to find the equation of a line if you only have a point and a slope or if you are just given two point. Usually you will convert point-slope form to slope-intercept form to make it easier to use.
The equation y=6x+1 is in "slope intercept" form. This form is y=mx+b and b is the y intercept and m is the slope. This means we can read the slope and the intercept directly from the equation with no calculations. The slope is 6 and the y intercept is 1 ( or the point (0,1) is you prefer)
Slope Intercept form is meant for a line, so if you know the slope m in the equation y=mx+b then with a given point say (3,4) and say the slope of the line was 2 then the equation would read y=2x+4.
Slope: -3 Point: (4, -5) Equation: y = -3x+7