Determining equations through the slope-intercept approach necessitates the recognition of the slope and y-intercept of a given line. The standard format of such equations takes the form of y=mx+b, where 'm' signifies the slope, and 'b' denotes the y-intercept. This particular technique is extensively employed in the field of algebra for the purpose of plotting linear equations.
| Topic | Problem | Solution |
|---|---|---|
| None | 14 The point $(3,10)$ lies on the line $y=3 x+1$ … | Choose two different x values, let's say x1 = 1 and x2 = 2 |
| None | Graph the line with the equation \[ y=-\frac{2}{3… | The given equation is in the form of y = mx + b, where m is the slope and b is the y-intercept. Her… |
| None | Write an equation in slope-intercept form of the … | m=\frac{y_2-y_1}{x_2-x_1} |
| None | Find an equation of the line $L$ that passes thro… | First, we can find the slope of the line through these two points. The slope will be equal to: \(\f… |
| None | Complete the equation of the line through $(-8,8)… | Given two points (-8,8) and (1,-10), we need to find the equation of the line passing through these… |
| None | Write an equation (a) in slope-intercept form and… | Convert the given line $3x + 5y = 1$ to slope-intercept form: $y = -\frac{3}{5}x + \frac{1}{5}$ |
| None | Does the point \( (27,-58) \) satisfy the equatio… | Check if the point \((27,-58)\) satisfies the equation \(y=-58\) |
| None | Use the given conditions to write an equation for… | Given a line passing through the point (-4,8) and parallel to the line whose equation is 3x-5y-6=0. |
| None | Use the given conditions to write an equation for… | Find the slope of the given line. The slope of a line in the form \(y = mx + b\) is \(m\). So, the … |
| None | Use the given conditions to write an equation for… | The slope of the line given in the question is \(\frac{1}{4}\). |
| None | Graph the line that contains the point $(-4,-6)$ … | We are given a point (-4,-6) and a slope of \(\frac{2}{3}\). |
| None | Consider the line $-2 x-9 y=5$ Find the equation … | The given line equation is \(-2x - 9y = 5\). |
| None | Graph the line that passes through the points $(-… | Graph the line that passes through the points (-8,-2) and (-8,1) and determine the equation of the … |
| None | Use the given conditions to write an equation for… | The slope of the given line is \(\frac{1}{3}\). The slope of a line perpendicular to this line woul… |
| None | Graph the line with slope -3 passing through the … | First, remember that the slope of a line in the form of \(y=mx+b\) is equal to \(m\). So, the line … |
| None | Graph the line with slope $-\frac{1}{3}$ passing … | We are given the slope of the line as \(-\frac{1}{3}\) and the line passes through the point \((2,-… |
| None | Write the equation of the line that passes throug… | First, we need to find the slope of the line. The slope of a line passing through two points \((x1,… |